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Finding the Fourth Proportional to 867,854,329.92, 1,197,647,763.84 and 471,385,061.28

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Solution

The fourth proportional to 867,854,329.92, 1,197,647,763.84 and 471,385,061.28 is: 650,516,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,854,329.92 : 1,197,647,763.84 = 471,385,061.28 : x
  2. Step 2: Convert to fraction form
    867,854,329.92/1,197,647,763.84 = 471,385,061.28/x
  3. Step 3: Cross multiply
    867,854,329.92x = 1,197,647,763.84 × 471,385,061.28
  4. Step 4: Simplify right side
    867,854,329.92x = 564,553,264,549,573,312
  5. Step 5: Solve for x
    x = 564,553,264,549,573,312/867,854,329.92
  6. Step 6: Final answer
    x = 650,516,158.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.