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Finding the Fourth Proportional to 1,238,478,204.04, 1,709,100,200.55 and 681,561,251.11

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Solution

The fourth proportional to 1,238,478,204.04, 1,709,100,200.55 and 681,561,251.11 is: 940,554,680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,478,204.04 : 1,709,100,200.55 = 681,561,251.11 : x
  2. Step 2: Convert to fraction form
    1,238,478,204.04/1,709,100,200.55 = 681,561,251.11/x
  3. Step 3: Cross multiply
    1,238,478,204.04x = 1,709,100,200.55 × 681,561,251.11
  4. Step 4: Simplify right side
    1,238,478,204.04x = 1,164,856,470,959,209,984
  5. Step 5: Solve for x
    x = 1,164,856,470,959,209,984/1,238,478,204.04
  6. Step 6: Final answer
    x = 940,554,680.06

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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.