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Finding the Fourth Proportional to 577,435,208, 865,806,905.20 and 183,791,989.60

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Solution

The fourth proportional to 577,435,208, 865,806,905.20 and 183,791,989.60 is: 275,577,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,435,208 : 865,806,905.20 = 183,791,989.60 : x
  2. Step 2: Convert to fraction form
    577,435,208/865,806,905.20 = 183,791,989.60/x
  3. Step 3: Cross multiply
    577,435,208x = 865,806,905.20 × 183,791,989.60
  4. Step 4: Simplify right side
    577,435,208x = 159,128,373,716,126,592
  5. Step 5: Solve for x
    x = 159,128,373,716,126,592/577,435,208
  6. Step 6: Final answer
    x = 275,577,885.64

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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.