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Finding the Fourth Proportional to 604,417,129.60, 906,177,796.80 and 409,842,947.20

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Solution

The fourth proportional to 604,417,129.60, 906,177,796.80 and 409,842,947.20 is: 614,460,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,417,129.60 : 906,177,796.80 = 409,842,947.20 : x
  2. Step 2: Convert to fraction form
    604,417,129.60/906,177,796.80 = 409,842,947.20/x
  3. Step 3: Cross multiply
    604,417,129.60x = 906,177,796.80 × 409,842,947.20
  4. Step 4: Simplify right side
    604,417,129.60x = 371,390,578,927,714,688
  5. Step 5: Solve for x
    x = 371,390,578,927,714,688/604,417,129.60
  6. Step 6: Final answer
    x = 614,460,710.56

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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.