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Finding the Fourth Proportional to 1,138,900,973.04, 1,708,001,716.34 and 401,798,498.29

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Solution

The fourth proportional to 1,138,900,973.04, 1,708,001,716.34 and 401,798,498.29 is: 602,574,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,900,973.04 : 1,708,001,716.34 = 401,798,498.29 : x
  2. Step 2: Convert to fraction form
    1,138,900,973.04/1,708,001,716.34 = 401,798,498.29/x
  3. Step 3: Cross multiply
    1,138,900,973.04x = 1,708,001,716.34 × 401,798,498.29
  4. Step 4: Simplify right side
    1,138,900,973.04x = 686,272,524,698,814,720
  5. Step 5: Solve for x
    x = 686,272,524,698,814,720/1,138,900,973.04
  6. Step 6: Final answer
    x = 602,574,359.79

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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.