Home / 412,378,073,164.24-569,131,282,348.96-249,792,948,600.16

Finding the Fourth Proportional to 412,378,073,164.24, 569,131,282,348.96 and 249,792,948,600.16

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Solution

The fourth proportional to 412,378,073,164.24, 569,131,282,348.96 and 249,792,948,600.16 is: 344,744,278,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,378,073,164.24 : 569,131,282,348.96 = 249,792,948,600.16 : x
  2. Step 2: Convert to fraction form
    412,378,073,164.24/569,131,282,348.96 = 249,792,948,600.16/x
  3. Step 3: Cross multiply
    412,378,073,164.24x = 569,131,282,348.96 × 249,792,948,600.16
  4. Step 4: Simplify right side
    412,378,073,164.24x = 142,164,981,158,536,898,674,688
  5. Step 5: Solve for x
    x = 142,164,981,158,536,898,674,688/412,378,073,164.24
  6. Step 6: Final answer
    x = 344,744,278,151.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.