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Finding the Fourth Proportional to 105,817,233,048.70, 158,725,849,573.05 and 105,817,233,048.70

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Solution

The fourth proportional to 105,817,233,048.70, 158,725,849,573.05 and 105,817,233,048.70 is: 158,725,849,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,817,233,048.70 : 158,725,849,573.05 = 105,817,233,048.70 : x
  2. Step 2: Convert to fraction form
    105,817,233,048.70/158,725,849,573.05 = 105,817,233,048.70/x
  3. Step 3: Cross multiply
    105,817,233,048.70x = 158,725,849,573.05 × 105,817,233,048.70
  4. Step 4: Simplify right side
    105,817,233,048.70x = 16,795,930,215,124,329,037,824
  5. Step 5: Solve for x
    x = 16,795,930,215,124,329,037,824/105,817,233,048.70
  6. Step 6: Final answer
    x = 158,725,849,573.05

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