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Finding the Fourth Proportional to 647,440,041.60, 971,160,062.40 and 450,169,142.40

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Solution

The fourth proportional to 647,440,041.60, 971,160,062.40 and 450,169,142.40 is: 675,253,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,440,041.60 : 971,160,062.40 = 450,169,142.40 : x
  2. Step 2: Convert to fraction form
    647,440,041.60/971,160,062.40 = 450,169,142.40/x
  3. Step 3: Cross multiply
    647,440,041.60x = 971,160,062.40 × 450,169,142.40
  4. Step 4: Simplify right side
    647,440,041.60x = 437,186,292,423,738,432
  5. Step 5: Solve for x
    x = 437,186,292,423,738,432/647,440,041.60
  6. Step 6: Final answer
    x = 675,253,713.60

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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.