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Finding the Fourth Proportional to 105,817,233,075.20, 158,725,849,612.80 and 105,817,233,075.20

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Solution

The fourth proportional to 105,817,233,075.20, 158,725,849,612.80 and 105,817,233,075.20 is: 158,725,849,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,817,233,075.20 : 158,725,849,612.80 = 105,817,233,075.20 : x
  2. Step 2: Convert to fraction form
    105,817,233,075.20/158,725,849,612.80 = 105,817,233,075.20/x
  3. Step 3: Cross multiply
    105,817,233,075.20x = 158,725,849,612.80 × 105,817,233,075.20
  4. Step 4: Simplify right side
    105,817,233,075.20x = 16,795,930,223,536,800,530,432
  5. Step 5: Solve for x
    x = 16,795,930,223,536,800,530,432/105,817,233,075.20
  6. Step 6: Final answer
    x = 158,725,849,612.80

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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.