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Finding the Fourth Proportional to 398,640,803.30, 596,827,464.15 and 398,640,803.30

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Solution

The fourth proportional to 398,640,803.30, 596,827,464.15 and 398,640,803.30 is: 596,827,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,640,803.30 : 596,827,464.15 = 398,640,803.30 : x
  2. Step 2: Convert to fraction form
    398,640,803.30/596,827,464.15 = 398,640,803.30/x
  3. Step 3: Cross multiply
    398,640,803.30x = 596,827,464.15 × 398,640,803.30
  4. Step 4: Simplify right side
    398,640,803.30x = 237,919,779,740,257,952
  5. Step 5: Solve for x
    x = 237,919,779,740,257,952/398,640,803.30
  6. Step 6: Final answer
    x = 596,827,464.15

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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.