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Finding the Fourth Proportional to 254,668,275.35, 382,002,413.03 and 254,668,275.35

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Solution

The fourth proportional to 254,668,275.35, 382,002,413.03 and 254,668,275.35 is: 382,002,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,668,275.35 : 382,002,413.03 = 254,668,275.35 : x
  2. Step 2: Convert to fraction form
    254,668,275.35/382,002,413.03 = 254,668,275.35/x
  3. Step 3: Cross multiply
    254,668,275.35x = 382,002,413.03 × 254,668,275.35
  4. Step 4: Simplify right side
    254,668,275.35x = 97,283,895,704,615,120
  5. Step 5: Solve for x
    x = 97,283,895,704,615,120/254,668,275.35
  6. Step 6: Final answer
    x = 382,002,413.03

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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.