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Finding the Fourth Proportional to 105,817,232,893.95, 158,725,849,340.92 and 105,817,232,893.95

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Solution

The fourth proportional to 105,817,232,893.95, 158,725,849,340.92 and 105,817,232,893.95 is: 158,725,849,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,817,232,893.95 : 158,725,849,340.92 = 105,817,232,893.95 : x
  2. Step 2: Convert to fraction form
    105,817,232,893.95/158,725,849,340.92 = 105,817,232,893.95/x
  3. Step 3: Cross multiply
    105,817,232,893.95x = 158,725,849,340.92 × 105,817,232,893.95
  4. Step 4: Simplify right side
    105,817,232,893.95x = 16,795,930,165,998,153,367,552
  5. Step 5: Solve for x
    x = 16,795,930,165,998,153,367,552/105,817,232,893.95
  6. Step 6: Final answer
    x = 158,725,849,340.92

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.