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Finding the Fourth Proportional to 224,676,356.30, 314,971,572.10 and 224,676,356.30

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Solution

The fourth proportional to 224,676,356.30, 314,971,572.10 and 224,676,356.30 is: 314,971,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,676,356.30 : 314,971,572.10 = 224,676,356.30 : x
  2. Step 2: Convert to fraction form
    224,676,356.30/314,971,572.10 = 224,676,356.30/x
  3. Step 3: Cross multiply
    224,676,356.30x = 314,971,572.10 × 224,676,356.30
  4. Step 4: Simplify right side
    224,676,356.30x = 70,766,665,157,510,752
  5. Step 5: Solve for x
    x = 70,766,665,157,510,752/224,676,356.30
  6. Step 6: Final answer
    x = 314,971,572.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.