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Finding the Fourth Proportional to 580,611,332.40, 870,916,998.60 and 437,284,100.40

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Solution

The fourth proportional to 580,611,332.40, 870,916,998.60 and 437,284,100.40 is: 655,926,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,611,332.40 : 870,916,998.60 = 437,284,100.40 : x
  2. Step 2: Convert to fraction form
    580,611,332.40/870,916,998.60 = 437,284,100.40/x
  3. Step 3: Cross multiply
    580,611,332.40x = 870,916,998.60 × 437,284,100.40
  4. Step 4: Simplify right side
    580,611,332.40x = 380,838,156,255,869,056
  5. Step 5: Solve for x
    x = 380,838,156,255,869,056/580,611,332.40
  6. Step 6: Final answer
    x = 655,926,150.60

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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.