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Finding the Fourth Proportional to 159,294,519,009.60, 238,941,778,514.40 and 159,294,519,009.60

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Solution

The fourth proportional to 159,294,519,009.60, 238,941,778,514.40 and 159,294,519,009.60 is: 238,941,778,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,294,519,009.60 : 238,941,778,514.40 = 159,294,519,009.60 : x
  2. Step 2: Convert to fraction form
    159,294,519,009.60/238,941,778,514.40 = 159,294,519,009.60/x
  3. Step 3: Cross multiply
    159,294,519,009.60x = 238,941,778,514.40 × 159,294,519,009.60
  4. Step 4: Simplify right side
    159,294,519,009.60x = 38,062,115,679,749,724,438,528
  5. Step 5: Solve for x
    x = 38,062,115,679,749,724,438,528/159,294,519,009.60
  6. Step 6: Final answer
    x = 238,941,778,514.40

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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.