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Finding the Fourth Proportional to 545,258,466,007.15, 817,887,699,010.75 and 545,258,466,007.15

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Solution

The fourth proportional to 545,258,466,007.15, 817,887,699,010.75 and 545,258,466,007.15 is: 817,887,699,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,258,466,007.15 : 817,887,699,010.75 = 545,258,466,007.15 : x
  2. Step 2: Convert to fraction form
    545,258,466,007.15/817,887,699,010.75 = 545,258,466,007.15/x
  3. Step 3: Cross multiply
    545,258,466,007.15x = 817,887,699,010.75 × 545,258,466,007.15
  4. Step 4: Simplify right side
    545,258,466,007.15x = 445,960,192,128,719,163,228,160
  5. Step 5: Solve for x
    x = 445,960,192,128,719,163,228,160/545,258,466,007.15
  6. Step 6: Final answer
    x = 817,887,699,010.75

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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.