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Finding the Fourth Proportional to 1,203,312,713.02, 1,660,174,601.49 and 726,825,041.62

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Solution

The fourth proportional to 1,203,312,713.02, 1,660,174,601.49 and 726,825,041.62 is: 1,002,778,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,312,713.02 : 1,660,174,601.49 = 726,825,041.62 : x
  2. Step 2: Convert to fraction form
    1,203,312,713.02/1,660,174,601.49 = 726,825,041.62/x
  3. Step 3: Cross multiply
    1,203,312,713.02x = 1,660,174,601.49 × 726,825,041.62
  4. Step 4: Simplify right side
    1,203,312,713.02x = 1,206,656,473,824,436,224
  5. Step 5: Solve for x
    x = 1,206,656,473,824,436,224/1,203,312,713.02
  6. Step 6: Final answer
    x = 1,002,778,796.21

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Double scale
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1.5x scale

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.