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Finding the Fourth Proportional to 610,416,316.80, 915,680,462.40 and 201,473,366.40

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Solution

The fourth proportional to 610,416,316.80, 915,680,462.40 and 201,473,366.40 is: 302,228,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,416,316.80 : 915,680,462.40 = 201,473,366.40 : x
  2. Step 2: Convert to fraction form
    610,416,316.80/915,680,462.40 = 201,473,366.40/x
  3. Step 3: Cross multiply
    610,416,316.80x = 915,680,462.40 × 201,473,366.40
  4. Step 4: Simplify right side
    610,416,316.80x = 184,485,225,306,436,640
  5. Step 5: Solve for x
    x = 184,485,225,306,436,640/610,416,316.80
  6. Step 6: Final answer
    x = 302,228,528.68

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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.