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Finding the Fourth Proportional to 1,043,073,007.80, 1,564,609,511.70 and 1,043,073,007.80

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Solution

The fourth proportional to 1,043,073,007.80, 1,564,609,511.70 and 1,043,073,007.80 is: 1,564,609,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,073,007.80 : 1,564,609,511.70 = 1,043,073,007.80 : x
  2. Step 2: Convert to fraction form
    1,043,073,007.80/1,564,609,511.70 = 1,043,073,007.80/x
  3. Step 3: Cross multiply
    1,043,073,007.80x = 1,564,609,511.70 × 1,043,073,007.80
  4. Step 4: Simplify right side
    1,043,073,007.80x = 1,632,001,949,401,408,256
  5. Step 5: Solve for x
    x = 1,632,001,949,401,408,256/1,043,073,007.80
  6. Step 6: Final answer
    x = 1,564,609,511.70

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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.