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Finding the Fourth Proportional to 326,258,472,034.80, 489,387,708,052.20 and 326,258,472,034.80

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Solution

The fourth proportional to 326,258,472,034.80, 489,387,708,052.20 and 326,258,472,034.80 is: 489,387,708,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,258,472,034.80 : 489,387,708,052.20 = 326,258,472,034.80 : x
  2. Step 2: Convert to fraction form
    326,258,472,034.80/489,387,708,052.20 = 326,258,472,034.80/x
  3. Step 3: Cross multiply
    326,258,472,034.80x = 489,387,708,052.20 × 326,258,472,034.80
  4. Step 4: Simplify right side
    326,258,472,034.80x = 159,666,885,861,723,552,612,352
  5. Step 5: Solve for x
    x = 159,666,885,861,723,552,612,352/326,258,472,034.80
  6. Step 6: Final answer
    x = 489,387,708,052.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.