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Finding the Fourth Proportional to 325,304,262,000.10, 487,956,393,000.15 and 325,304,262,000.10

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Solution

The fourth proportional to 325,304,262,000.10, 487,956,393,000.15 and 325,304,262,000.10 is: 487,956,393,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,304,262,000.10 : 487,956,393,000.15 = 325,304,262,000.10 : x
  2. Step 2: Convert to fraction form
    325,304,262,000.10/487,956,393,000.15 = 325,304,262,000.10/x
  3. Step 3: Cross multiply
    325,304,262,000.10x = 487,956,393,000.15 × 325,304,262,000.10
  4. Step 4: Simplify right side
    325,304,262,000.10x = 158,734,294,313,144,565,104,640
  5. Step 5: Solve for x
    x = 158,734,294,313,144,565,104,640/325,304,262,000.10
  6. Step 6: Final answer
    x = 487,956,393,000.15

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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.