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Finding the Fourth Proportional to 597,989,675.70, 896,984,513.55 and 391,365,414.90

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Solution

The fourth proportional to 597,989,675.70, 896,984,513.55 and 391,365,414.90 is: 587,048,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,989,675.70 : 896,984,513.55 = 391,365,414.90 : x
  2. Step 2: Convert to fraction form
    597,989,675.70/896,984,513.55 = 391,365,414.90/x
  3. Step 3: Cross multiply
    597,989,675.70x = 896,984,513.55 × 391,365,414.90
  4. Step 4: Simplify right side
    597,989,675.70x = 351,048,716,304,370,368
  5. Step 5: Solve for x
    x = 351,048,716,304,370,368/597,989,675.70
  6. Step 6: Final answer
    x = 587,048,122.35

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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.