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Finding the Fourth Proportional to 604,417,395.60, 906,178,195.80 and 409,843,213.20

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Solution

The fourth proportional to 604,417,395.60, 906,178,195.80 and 409,843,213.20 is: 614,461,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,417,395.60 : 906,178,195.80 = 409,843,213.20 : x
  2. Step 2: Convert to fraction form
    604,417,395.60/906,178,195.80 = 409,843,213.20/x
  3. Step 3: Cross multiply
    604,417,395.60x = 906,178,195.80 × 409,843,213.20
  4. Step 4: Simplify right side
    604,417,395.60x = 371,390,983,498,450,688
  5. Step 5: Solve for x
    x = 371,390,983,498,450,688/604,417,395.60
  6. Step 6: Final answer
    x = 614,461,109.49

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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.