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Finding the Fourth Proportional to 169,921,282,205.60, 254,392,147,282.80 and 169,921,282,205.60

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Solution

The fourth proportional to 169,921,282,205.60, 254,392,147,282.80 and 169,921,282,205.60 is: 254,392,147,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,921,282,205.60 : 254,392,147,282.80 = 169,921,282,205.60 : x
  2. Step 2: Convert to fraction form
    169,921,282,205.60/254,392,147,282.80 = 169,921,282,205.60/x
  3. Step 3: Cross multiply
    169,921,282,205.60x = 254,392,147,282.80 × 169,921,282,205.60
  4. Step 4: Simplify right side
    169,921,282,205.60x = 43,226,639,849,329,218,551,808
  5. Step 5: Solve for x
    x = 43,226,639,849,329,218,551,808/169,921,282,205.60
  6. Step 6: Final answer
    x = 254,392,147,282.80

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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.