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Finding the Fourth Proportional to 1,024,978,366.12, 1,539,920,307.92 and 657,233,813.08

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Solution

The fourth proportional to 1,024,978,366.12, 1,539,920,307.92 and 657,233,813.08 is: 987,423,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,978,366.12 : 1,539,920,307.92 = 657,233,813.08 : x
  2. Step 2: Convert to fraction form
    1,024,978,366.12/1,539,920,307.92 = 657,233,813.08/x
  3. Step 3: Cross multiply
    1,024,978,366.12x = 1,539,920,307.92 × 657,233,813.08
  4. Step 4: Simplify right side
    1,024,978,366.12x = 1,012,087,695,813,589,376
  5. Step 5: Solve for x
    x = 1,012,087,695,813,589,376/1,024,978,366.12
  6. Step 6: Final answer
    x = 987,423,470.84

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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.