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Finding the Fourth Proportional to 610,416,289.80, 915,680,421.90 and 201,473,339.40

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Solution

The fourth proportional to 610,416,289.80, 915,680,421.90 and 201,473,339.40 is: 302,228,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,416,289.80 : 915,680,421.90 = 201,473,339.40 : x
  2. Step 2: Convert to fraction form
    610,416,289.80/915,680,421.90 = 201,473,339.40/x
  3. Step 3: Cross multiply
    610,416,289.80x = 915,680,421.90 × 201,473,339.40
  4. Step 4: Simplify right side
    610,416,289.80x = 184,485,192,423,393,888
  5. Step 5: Solve for x
    x = 184,485,192,423,393,888/610,416,289.80
  6. Step 6: Final answer
    x = 302,228,488.17

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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.