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Finding the Fourth Proportional to 545,315,328,000.40, 817,972,992,000.60 and 545,315,328,000.40

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Solution

The fourth proportional to 545,315,328,000.40, 817,972,992,000.60 and 545,315,328,000.40 is: 817,972,992,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,315,328,000.40 : 817,972,992,000.60 = 545,315,328,000.40 : x
  2. Step 2: Convert to fraction form
    545,315,328,000.40/817,972,992,000.60 = 545,315,328,000.40/x
  3. Step 3: Cross multiply
    545,315,328,000.40x = 817,972,992,000.60 × 545,315,328,000.40
  4. Step 4: Simplify right side
    545,315,328,000.40x = 446,053,210,428,275,729,367,040
  5. Step 5: Solve for x
    x = 446,053,210,428,275,729,367,040/545,315,328,000.40
  6. Step 6: Final answer
    x = 817,972,992,000.60

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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.