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Finding the Fourth Proportional to 185,639,604,312.80, 278,459,406,469.20 and 185,639,604,312.80

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Solution

The fourth proportional to 185,639,604,312.80, 278,459,406,469.20 and 185,639,604,312.80 is: 278,459,406,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,639,604,312.80 : 278,459,406,469.20 = 185,639,604,312.80 : x
  2. Step 2: Convert to fraction form
    185,639,604,312.80/278,459,406,469.20 = 185,639,604,312.80/x
  3. Step 3: Cross multiply
    185,639,604,312.80x = 278,459,406,469.20 × 185,639,604,312.80
  4. Step 4: Simplify right side
    185,639,604,312.80x = 51,693,094,034,119,430,504,448
  5. Step 5: Solve for x
    x = 51,693,094,034,119,430,504,448/185,639,604,312.80
  6. Step 6: Final answer
    x = 278,459,406,469.20

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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.