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Finding the Fourth Proportional to 610,416,502.80, 915,680,741.40 and 201,473,552.40

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Solution

The fourth proportional to 610,416,502.80, 915,680,741.40 and 201,473,552.40 is: 302,228,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,416,502.80 : 915,680,741.40 = 201,473,552.40 : x
  2. Step 2: Convert to fraction form
    610,416,502.80/915,680,741.40 = 201,473,552.40/x
  3. Step 3: Cross multiply
    610,416,502.80x = 915,680,741.40 × 201,473,552.40
  4. Step 4: Simplify right side
    610,416,502.80x = 184,485,451,834,123,744
  5. Step 5: Solve for x
    x = 184,485,451,834,123,744/610,416,502.80
  6. Step 6: Final answer
    x = 302,228,807.69

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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.