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Finding the Fourth Proportional to 298,935,200.40, 448,473,659.40 and 153,391,225.20

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Solution

The fourth proportional to 298,935,200.40, 448,473,659.40 and 153,391,225.20 is: 230,123,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,935,200.40 : 448,473,659.40 = 153,391,225.20 : x
  2. Step 2: Convert to fraction form
    298,935,200.40/448,473,659.40 = 153,391,225.20/x
  3. Step 3: Cross multiply
    298,935,200.40x = 448,473,659.40 × 153,391,225.20
  4. Step 4: Simplify right side
    298,935,200.40x = 68,791,924,085,293,488
  5. Step 5: Solve for x
    x = 68,791,924,085,293,488/298,935,200.40
  6. Step 6: Final answer
    x = 230,123,197.25

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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.