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Finding the Fourth Proportional to 288,684,237.60, 433,026,356.40 and 282,944,674.80

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Solution

The fourth proportional to 288,684,237.60, 433,026,356.40 and 282,944,674.80 is: 424,417,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,684,237.60 : 433,026,356.40 = 282,944,674.80 : x
  2. Step 2: Convert to fraction form
    288,684,237.60/433,026,356.40 = 282,944,674.80/x
  3. Step 3: Cross multiply
    288,684,237.60x = 433,026,356.40 × 282,944,674.80
  4. Step 4: Simplify right side
    288,684,237.60x = 122,522,501,591,426,896
  5. Step 5: Solve for x
    x = 122,522,501,591,426,896/288,684,237.60
  6. Step 6: Final answer
    x = 424,417,012.20

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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.