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Finding the Fourth Proportional to 1,043,041,536,200.70, 1,564,562,304,301 and 1,043,041,536,200.70

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Solution

The fourth proportional to 1,043,041,536,200.70, 1,564,562,304,301 and 1,043,041,536,200.70 is: 1,564,562,304,301

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,041,536,200.70 : 1,564,562,304,301 = 1,043,041,536,200.70 : x
  2. Step 2: Convert to fraction form
    1,043,041,536,200.70/1,564,562,304,301 = 1,043,041,536,200.70/x
  3. Step 3: Cross multiply
    1,043,041,536,200.70x = 1,564,562,304,301 × 1,043,041,536,200.70
  4. Step 4: Simplify right side
    1,043,041,536,200.70x = 1,631,903,469,359,821,911,752,704
  5. Step 5: Solve for x
    x = 1,631,903,469,359,821,911,752,704/1,043,041,536,200.70
  6. Step 6: Final answer
    x = 1,564,562,304,301

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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.