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Finding the Fourth Proportional to 149,668,064.70, 224,502,097.05 and 149,668,064.70

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Solution

The fourth proportional to 149,668,064.70, 224,502,097.05 and 149,668,064.70 is: 224,502,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,668,064.70 : 224,502,097.05 = 149,668,064.70 : x
  2. Step 2: Convert to fraction form
    149,668,064.70/224,502,097.05 = 149,668,064.70/x
  3. Step 3: Cross multiply
    149,668,064.70x = 224,502,097.05 × 149,668,064.70
  4. Step 4: Simplify right side
    149,668,064.70x = 33,600,794,386,565,080
  5. Step 5: Solve for x
    x = 33,600,794,386,565,080/149,668,064.70
  6. Step 6: Final answer
    x = 224,502,097.05

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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.