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Finding the Fourth Proportional to 398,651,710.40, 597,977,565.60 and 398,651,710.40

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Solution

The fourth proportional to 398,651,710.40, 597,977,565.60 and 398,651,710.40 is: 597,977,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,651,710.40 : 597,977,565.60 = 398,651,710.40 : x
  2. Step 2: Convert to fraction form
    398,651,710.40/597,977,565.60 = 398,651,710.40/x
  3. Step 3: Cross multiply
    398,651,710.40x = 597,977,565.60 × 398,651,710.40
  4. Step 4: Simplify right side
    398,651,710.40x = 238,384,779,307,268,192
  5. Step 5: Solve for x
    x = 238,384,779,307,268,192/398,651,710.40
  6. Step 6: Final answer
    x = 597,977,565.60

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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.