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Finding the Fourth Proportional to 299,125,764.60, 412,862,429.84 and 175,406,299.80

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Solution

The fourth proportional to 299,125,764.60, 412,862,429.84 and 175,406,299.80 is: 242,101,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,125,764.60 : 412,862,429.84 = 175,406,299.80 : x
  2. Step 2: Convert to fraction form
    299,125,764.60/412,862,429.84 = 175,406,299.80/x
  3. Step 3: Cross multiply
    299,125,764.60x = 412,862,429.84 × 175,406,299.80
  4. Step 4: Simplify right side
    299,125,764.60x = 72,418,671,144,671,504
  5. Step 5: Solve for x
    x = 72,418,671,144,671,504/299,125,764.60
  6. Step 6: Final answer
    x = 242,101,081.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.