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Finding the Fourth Proportional to 671,665,948.80, 1,007,498,923.20 and 613,552,875.45

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Solution

The fourth proportional to 671,665,948.80, 1,007,498,923.20 and 613,552,875.45 is: 920,329,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,665,948.80 : 1,007,498,923.20 = 613,552,875.45 : x
  2. Step 2: Convert to fraction form
    671,665,948.80/1,007,498,923.20 = 613,552,875.45/x
  3. Step 3: Cross multiply
    671,665,948.80x = 1,007,498,923.20 × 613,552,875.45
  4. Step 4: Simplify right side
    671,665,948.80x = 618,153,861,342,138,752
  5. Step 5: Solve for x
    x = 618,153,861,342,138,752/671,665,948.80
  6. Step 6: Final answer
    x = 920,329,313.18

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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.