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Finding the Fourth Proportional to 153,894,862,777.20, 230,842,294,165.80 and 153,894,862,777.20

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Solution

The fourth proportional to 153,894,862,777.20, 230,842,294,165.80 and 153,894,862,777.20 is: 230,842,294,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,894,862,777.20 : 230,842,294,165.80 = 153,894,862,777.20 : x
  2. Step 2: Convert to fraction form
    153,894,862,777.20/230,842,294,165.80 = 153,894,862,777.20/x
  3. Step 3: Cross multiply
    153,894,862,777.20x = 230,842,294,165.80 × 153,894,862,777.20
  4. Step 4: Simplify right side
    153,894,862,777.20x = 35,525,443,183,819,827,970,048
  5. Step 5: Solve for x
    x = 35,525,443,183,819,827,970,048/153,894,862,777.20
  6. Step 6: Final answer
    x = 230,842,294,165.80

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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.