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Finding the Fourth Proportional to 159,460,268,748.80, 239,190,403,123.20 and 159,460,268,748.80

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Solution

The fourth proportional to 159,460,268,748.80, 239,190,403,123.20 and 159,460,268,748.80 is: 239,190,403,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,460,268,748.80 : 239,190,403,123.20 = 159,460,268,748.80 : x
  2. Step 2: Convert to fraction form
    159,460,268,748.80/239,190,403,123.20 = 159,460,268,748.80/x
  3. Step 3: Cross multiply
    159,460,268,748.80x = 239,190,403,123.20 × 159,460,268,748.80
  4. Step 4: Simplify right side
    159,460,268,748.80x = 38,141,365,964,159,284,412,416
  5. Step 5: Solve for x
    x = 38,141,365,964,159,284,412,416/159,460,268,748.80
  6. Step 6: Final answer
    x = 239,190,403,123.20

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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.