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Finding the Fourth Proportional to 10,585,065,411.70, 15,877,598,117.55 and 10,585,065,411.70

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Solution

The fourth proportional to 10,585,065,411.70, 15,877,598,117.55 and 10,585,065,411.70 is: 15,877,598,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585,065,411.70 : 15,877,598,117.55 = 10,585,065,411.70 : x
  2. Step 2: Convert to fraction form
    10,585,065,411.70/15,877,598,117.55 = 10,585,065,411.70/x
  3. Step 3: Cross multiply
    10,585,065,411.70x = 15,877,598,117.55 × 10,585,065,411.70
  4. Step 4: Simplify right side
    10,585,065,411.70x = 168,065,414,654,951,555,072
  5. Step 5: Solve for x
    x = 168,065,414,654,951,555,072/10,585,065,411.70
  6. Step 6: Final answer
    x = 15,877,598,117.55

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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.