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Finding the Fourth Proportional to 545,258,466,009.30, 817,887,699,013.95 and 545,258,466,009.30

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Solution

The fourth proportional to 545,258,466,009.30, 817,887,699,013.95 and 545,258,466,009.30 is: 817,887,699,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,258,466,009.30 : 817,887,699,013.95 = 545,258,466,009.30 : x
  2. Step 2: Convert to fraction form
    545,258,466,009.30/817,887,699,013.95 = 545,258,466,009.30/x
  3. Step 3: Cross multiply
    545,258,466,009.30x = 817,887,699,013.95 × 545,258,466,009.30
  4. Step 4: Simplify right side
    545,258,466,009.30x = 445,960,192,132,222,380,146,688
  5. Step 5: Solve for x
    x = 445,960,192,132,222,380,146,688/545,258,466,009.30
  6. Step 6: Final answer
    x = 817,887,699,013.95

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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.