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Finding the Fourth Proportional to 403,248,460.80, 604,447,538.40 and 157,510,142.40

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Solution

The fourth proportional to 403,248,460.80, 604,447,538.40 and 157,510,142.40 is: 236,099,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,248,460.80 : 604,447,538.40 = 157,510,142.40 : x
  2. Step 2: Convert to fraction form
    403,248,460.80/604,447,538.40 = 157,510,142.40/x
  3. Step 3: Cross multiply
    403,248,460.80x = 604,447,538.40 × 157,510,142.40
  4. Step 4: Simplify right side
    403,248,460.80x = 95,206,617,846,713,472
  5. Step 5: Solve for x
    x = 95,206,617,846,713,472/403,248,460.80
  6. Step 6: Final answer
    x = 236,099,147.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.