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Finding the Fourth Proportional to 299,070,566.40, 448,666,502.40 and 169,740,134.40

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Solution

The fourth proportional to 299,070,566.40, 448,666,502.40 and 169,740,134.40 is: 254,644,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,070,566.40 : 448,666,502.40 = 169,740,134.40 : x
  2. Step 2: Convert to fraction form
    299,070,566.40/448,666,502.40 = 169,740,134.40/x
  3. Step 3: Cross multiply
    299,070,566.40x = 448,666,502.40 × 169,740,134.40
  4. Step 4: Simplify right side
    299,070,566.40x = 76,156,712,418,153,920
  5. Step 5: Solve for x
    x = 76,156,712,418,153,920/299,070,566.40
  6. Step 6: Final answer
    x = 254,644,625.63

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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.