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Finding the Fourth Proportional to 647,356,002.90, 971,034,004.35 and 572,529,110.10

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Solution

The fourth proportional to 647,356,002.90, 971,034,004.35 and 572,529,110.10 is: 858,793,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,356,002.90 : 971,034,004.35 = 572,529,110.10 : x
  2. Step 2: Convert to fraction form
    647,356,002.90/971,034,004.35 = 572,529,110.10/x
  3. Step 3: Cross multiply
    647,356,002.90x = 971,034,004.35 × 572,529,110.10
  4. Step 4: Simplify right side
    647,356,002.90x = 555,945,234,387,345,088
  5. Step 5: Solve for x
    x = 555,945,234,387,345,088/647,356,002.90
  6. Step 6: Final answer
    x = 858,793,665.15

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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.