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Finding the Fourth Proportional to 280,404,697.80, 420,607,046.70 and 159,472,345.80

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Solution

The fourth proportional to 280,404,697.80, 420,607,046.70 and 159,472,345.80 is: 239,208,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,404,697.80 : 420,607,046.70 = 159,472,345.80 : x
  2. Step 2: Convert to fraction form
    280,404,697.80/420,607,046.70 = 159,472,345.80/x
  3. Step 3: Cross multiply
    280,404,697.80x = 420,607,046.70 × 159,472,345.80
  4. Step 4: Simplify right side
    280,404,697.80x = 67,075,192,397,259,152
  5. Step 5: Solve for x
    x = 67,075,192,397,259,152/280,404,697.80
  6. Step 6: Final answer
    x = 239,208,518.70

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1.5x scale

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.