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Finding the Fourth Proportional to 169,921,282,705.60, 254,392,148,032.80 and 169,921,282,705.60

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Solution

The fourth proportional to 169,921,282,705.60, 254,392,148,032.80 and 169,921,282,705.60 is: 254,392,148,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,921,282,705.60 : 254,392,148,032.80 = 169,921,282,705.60 : x
  2. Step 2: Convert to fraction form
    169,921,282,705.60/254,392,148,032.80 = 169,921,282,705.60/x
  3. Step 3: Cross multiply
    169,921,282,705.60x = 254,392,148,032.80 × 169,921,282,705.60
  4. Step 4: Simplify right side
    169,921,282,705.60x = 43,226,640,103,966,253,252,608
  5. Step 5: Solve for x
    x = 43,226,640,103,966,253,252,608/169,921,282,705.60
  6. Step 6: Final answer
    x = 254,392,148,032.80

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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.