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Finding the Fourth Proportional to 491,169,656,980.35, 736,754,485,470.52 and 491,169,656,980.35

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Solution

The fourth proportional to 491,169,656,980.35, 736,754,485,470.52 and 491,169,656,980.35 is: 736,754,485,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,169,656,980.35 : 736,754,485,470.52 = 491,169,656,980.35 : x
  2. Step 2: Convert to fraction form
    491,169,656,980.35/736,754,485,470.52 = 491,169,656,980.35/x
  3. Step 3: Cross multiply
    491,169,656,980.35x = 736,754,485,470.52 × 491,169,656,980.35
  4. Step 4: Simplify right side
    491,169,656,980.35x = 361,871,447,907,289,570,213,888
  5. Step 5: Solve for x
    x = 361,871,447,907,289,570,213,888/491,169,656,980.35
  6. Step 6: Final answer
    x = 736,754,485,470.52

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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.