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Finding the Fourth Proportional to 595,565,006.40, 893,347,509.60 and 457,815,499.20

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Solution

The fourth proportional to 595,565,006.40, 893,347,509.60 and 457,815,499.20 is: 686,723,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,565,006.40 : 893,347,509.60 = 457,815,499.20 : x
  2. Step 2: Convert to fraction form
    595,565,006.40/893,347,509.60 = 457,815,499.20/x
  3. Step 3: Cross multiply
    595,565,006.40x = 893,347,509.60 × 457,815,499.20
  4. Step 4: Simplify right side
    595,565,006.40x = 408,988,336,066,600,768
  5. Step 5: Solve for x
    x = 408,988,336,066,600,768/595,565,006.40
  6. Step 6: Final answer
    x = 686,723,248.80

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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.