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Finding the Fourth Proportional to 290,428,297.20, 435,642,445.80 and 224,671,330.80

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Solution

The fourth proportional to 290,428,297.20, 435,642,445.80 and 224,671,330.80 is: 337,006,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,428,297.20 : 435,642,445.80 = 224,671,330.80 : x
  2. Step 2: Convert to fraction form
    290,428,297.20/435,642,445.80 = 224,671,330.80/x
  3. Step 3: Cross multiply
    290,428,297.20x = 435,642,445.80 × 224,671,330.80
  4. Step 4: Simplify right side
    290,428,297.20x = 97,876,368,050,852,880
  5. Step 5: Solve for x
    x = 97,876,368,050,852,880/290,428,297.20
  6. Step 6: Final answer
    x = 337,006,996.20

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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.