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Finding the Fourth Proportional to 298,985,419.60, 448,159,264.80 and 114,681,680.80

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Solution

The fourth proportional to 298,985,419.60, 448,159,264.80 and 114,681,680.80 is: 171,900,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,985,419.60 : 448,159,264.80 = 114,681,680.80 : x
  2. Step 2: Convert to fraction form
    298,985,419.60/448,159,264.80 = 114,681,680.80/x
  3. Step 3: Cross multiply
    298,985,419.60x = 448,159,264.80 × 114,681,680.80
  4. Step 4: Simplify right side
    298,985,419.60x = 51,395,657,753,356,272
  5. Step 5: Solve for x
    x = 51,395,657,753,356,272/298,985,419.60
  6. Step 6: Final answer
    x = 171,900,214.47

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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.