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Finding the Fourth Proportional to 1,057,671,105.15, 1,586,506,657.73 and 1,057,671,105.15

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Solution

The fourth proportional to 1,057,671,105.15, 1,586,506,657.73 and 1,057,671,105.15 is: 1,586,506,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,671,105.15 : 1,586,506,657.73 = 1,057,671,105.15 : x
  2. Step 2: Convert to fraction form
    1,057,671,105.15/1,586,506,657.73 = 1,057,671,105.15/x
  3. Step 3: Cross multiply
    1,057,671,105.15x = 1,586,506,657.73 × 1,057,671,105.15
  4. Step 4: Simplify right side
    1,057,671,105.15x = 1,678,002,250,003,833,344
  5. Step 5: Solve for x
    x = 1,678,002,250,003,833,344/1,057,671,105.15
  6. Step 6: Final answer
    x = 1,586,506,657.73

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Double scale
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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.