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Finding the Fourth Proportional to 412,897,863.34, 569,799,019.56 and 224,727,506.38

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Solution

The fourth proportional to 412,897,863.34, 569,799,019.56 and 224,727,506.38 is: 310,123,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,897,863.34 : 569,799,019.56 = 224,727,506.38 : x
  2. Step 2: Convert to fraction form
    412,897,863.34/569,799,019.56 = 224,727,506.38/x
  3. Step 3: Cross multiply
    412,897,863.34x = 569,799,019.56 × 224,727,506.38
  4. Step 4: Simplify right side
    412,897,863.34x = 128,049,512,803,487,632
  5. Step 5: Solve for x
    x = 128,049,512,803,487,632/412,897,863.34
  6. Step 6: Final answer
    x = 310,123,941.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.