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Finding the Fourth Proportional to 510,898,269.60, 766,347,404.40 and 349,655,133.60

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Solution

The fourth proportional to 510,898,269.60, 766,347,404.40 and 349,655,133.60 is: 524,482,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,898,269.60 : 766,347,404.40 = 349,655,133.60 : x
  2. Step 2: Convert to fraction form
    510,898,269.60/766,347,404.40 = 349,655,133.60/x
  3. Step 3: Cross multiply
    510,898,269.60x = 766,347,404.40 × 349,655,133.60
  4. Step 4: Simplify right side
    510,898,269.60x = 267,957,304,069,495,232
  5. Step 5: Solve for x
    x = 267,957,304,069,495,232/510,898,269.60
  6. Step 6: Final answer
    x = 524,482,700.40

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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.