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Finding the Fourth Proportional to 83,816,971,521.15, 125,725,457,281.72 and 83,816,971,521.15

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Solution

The fourth proportional to 83,816,971,521.15, 125,725,457,281.72 and 83,816,971,521.15 is: 125,725,457,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,816,971,521.15 : 125,725,457,281.72 = 83,816,971,521.15 : x
  2. Step 2: Convert to fraction form
    83,816,971,521.15/125,725,457,281.72 = 83,816,971,521.15/x
  3. Step 3: Cross multiply
    83,816,971,521.15x = 125,725,457,281.72 × 83,816,971,521.15
  4. Step 4: Simplify right side
    83,816,971,521.15x = 10,537,927,072,465,486,348,288
  5. Step 5: Solve for x
    x = 10,537,927,072,465,486,348,288/83,816,971,521.15
  6. Step 6: Final answer
    x = 125,725,457,281.72

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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.