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Finding the Fourth Proportional to 325,304,262,004.93, 487,956,393,007.40 and 325,304,262,004.93

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Solution

The fourth proportional to 325,304,262,004.93, 487,956,393,007.40 and 325,304,262,004.93 is: 487,956,393,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,304,262,004.93 : 487,956,393,007.40 = 325,304,262,004.93 : x
  2. Step 2: Convert to fraction form
    325,304,262,004.93/487,956,393,007.40 = 325,304,262,004.93/x
  3. Step 3: Cross multiply
    325,304,262,004.93x = 487,956,393,007.40 × 325,304,262,004.93
  4. Step 4: Simplify right side
    325,304,262,004.93x = 158,734,294,317,859,835,215,872
  5. Step 5: Solve for x
    x = 158,734,294,317,859,835,215,872/325,304,262,004.93
  6. Step 6: Final answer
    x = 487,956,393,007.40

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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.