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Finding the Fourth Proportional to 1,006,970,577.70, 1,510,455,866.56 and 1,006,970,577.70

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Solution

The fourth proportional to 1,006,970,577.70, 1,510,455,866.56 and 1,006,970,577.70 is: 1,510,455,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,970,577.70 : 1,510,455,866.56 = 1,006,970,577.70 : x
  2. Step 2: Convert to fraction form
    1,006,970,577.70/1,510,455,866.56 = 1,006,970,577.70/x
  3. Step 3: Cross multiply
    1,006,970,577.70x = 1,510,455,866.56 × 1,006,970,577.70
  4. Step 4: Simplify right side
    1,006,970,577.70x = 1,520,984,616,540,277,248
  5. Step 5: Solve for x
    x = 1,520,984,616,540,277,248/1,006,970,577.70
  6. Step 6: Final answer
    x = 1,510,455,866.56

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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.