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Finding the Fourth Proportional to 611,190,923.10, 916,786,384.65 and 611,190,923.10

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Solution

The fourth proportional to 611,190,923.10, 916,786,384.65 and 611,190,923.10 is: 916,786,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,190,923.10 : 916,786,384.65 = 611,190,923.10 : x
  2. Step 2: Convert to fraction form
    611,190,923.10/916,786,384.65 = 611,190,923.10/x
  3. Step 3: Cross multiply
    611,190,923.10x = 916,786,384.65 × 611,190,923.10
  4. Step 4: Simplify right side
    611,190,923.10x = 560,331,516,719,745,152
  5. Step 5: Solve for x
    x = 560,331,516,719,745,152/611,190,923.10
  6. Step 6: Final answer
    x = 916,786,384.65

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Double scale
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1.5x scale

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.