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Finding the Fourth Proportional to 971,012,708.70, 1,456,519,063.05 and 971,012,708.70

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Solution

The fourth proportional to 971,012,708.70, 1,456,519,063.05 and 971,012,708.70 is: 1,456,519,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,012,708.70 : 1,456,519,063.05 = 971,012,708.70 : x
  2. Step 2: Convert to fraction form
    971,012,708.70/1,456,519,063.05 = 971,012,708.70/x
  3. Step 3: Cross multiply
    971,012,708.70x = 1,456,519,063.05 × 971,012,708.70
  4. Step 4: Simplify right side
    971,012,708.70x = 1,414,298,520,685,366,528
  5. Step 5: Solve for x
    x = 1,414,298,520,685,366,528/971,012,708.70
  6. Step 6: Final answer
    x = 1,456,519,063.05

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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.