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Finding the Fourth Proportional to 971,029,981.80, 1,456,544,972.70 and 971,029,981.80

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Solution

The fourth proportional to 971,029,981.80, 1,456,544,972.70 and 971,029,981.80 is: 1,456,544,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,029,981.80 : 1,456,544,972.70 = 971,029,981.80 : x
  2. Step 2: Convert to fraction form
    971,029,981.80/1,456,544,972.70 = 971,029,981.80/x
  3. Step 3: Cross multiply
    971,029,981.80x = 1,456,544,972.70 × 971,029,981.80
  4. Step 4: Simplify right side
    971,029,981.80x = 1,414,348,838,331,762,432
  5. Step 5: Solve for x
    x = 1,414,348,838,331,762,432/971,029,981.80
  6. Step 6: Final answer
    x = 1,456,544,972.70

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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.