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Finding the Fourth Proportional to 459,652,001.60, 689,478,002.40 and 368,952,737.60

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Solution

The fourth proportional to 459,652,001.60, 689,478,002.40 and 368,952,737.60 is: 553,429,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,652,001.60 : 689,478,002.40 = 368,952,737.60 : x
  2. Step 2: Convert to fraction form
    459,652,001.60/689,478,002.40 = 368,952,737.60/x
  3. Step 3: Cross multiply
    459,652,001.60x = 689,478,002.40 × 368,952,737.60
  4. Step 4: Simplify right side
    459,652,001.60x = 254,384,796,500,459,392
  5. Step 5: Solve for x
    x = 254,384,796,500,459,392/459,652,001.60
  6. Step 6: Final answer
    x = 553,429,106.40

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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.