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Finding the Fourth Proportional to 1,024,978,382, 1,539,920,331.84 and 657,233,829.12

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Solution

The fourth proportional to 1,024,978,382, 1,539,920,331.84 and 657,233,829.12 is: 987,423,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,978,382 : 1,539,920,331.84 = 657,233,829.12 : x
  2. Step 2: Convert to fraction form
    1,024,978,382/1,539,920,331.84 = 657,233,829.12/x
  3. Step 3: Cross multiply
    1,024,978,382x = 1,539,920,331.84 × 657,233,829.12
  4. Step 4: Simplify right side
    1,024,978,382x = 1,012,087,736,234,944,256
  5. Step 5: Solve for x
    x = 1,012,087,736,234,944,256/1,024,978,382
  6. Step 6: Final answer
    x = 987,423,494.98

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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.