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Finding the Fourth Proportional to 867,966,642, 1,197,794,432.52 and 476,851,260.24

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Solution

The fourth proportional to 867,966,642, 1,197,794,432.52 and 476,851,260.24 is: 658,054,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,966,642 : 1,197,794,432.52 = 476,851,260.24 : x
  2. Step 2: Convert to fraction form
    867,966,642/1,197,794,432.52 = 476,851,260.24/x
  3. Step 3: Cross multiply
    867,966,642x = 1,197,794,432.52 × 476,851,260.24
  4. Step 4: Simplify right side
    867,966,642x = 571,169,784,655,617,664
  5. Step 5: Solve for x
    x = 571,169,784,655,617,664/867,966,642
  6. Step 6: Final answer
    x = 658,054,995.45

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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.