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Finding the Fourth Proportional to 1,782,550,376,430.70, 2,673,825,564,646 and 1,782,550,376,430.70

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Solution

The fourth proportional to 1,782,550,376,430.70, 2,673,825,564,646 and 1,782,550,376,430.70 is: 2,673,825,564,646

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,550,376,430.70 : 2,673,825,564,646 = 1,782,550,376,430.70 : x
  2. Step 2: Convert to fraction form
    1,782,550,376,430.70/2,673,825,564,646 = 1,782,550,376,430.70/x
  3. Step 3: Cross multiply
    1,782,550,376,430.70x = 2,673,825,564,646 × 1,782,550,376,430.70
  4. Step 4: Simplify right side
    1,782,550,376,430.70x = 4,766,228,766,769,756,290,154,496
  5. Step 5: Solve for x
    x = 4,766,228,766,769,756,290,154,496/1,782,550,376,430.70
  6. Step 6: Final answer
    x = 2,673,825,564,646

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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.