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Finding the Fourth Proportional to 612,908,694,024.55, 919,363,041,036.85 and 612,908,694,024.55

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Solution

The fourth proportional to 612,908,694,024.55, 919,363,041,036.85 and 612,908,694,024.55 is: 919,363,041,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,908,694,024.55 : 919,363,041,036.85 = 612,908,694,024.55 : x
  2. Step 2: Convert to fraction form
    612,908,694,024.55/919,363,041,036.85 = 612,908,694,024.55/x
  3. Step 3: Cross multiply
    612,908,694,024.55x = 919,363,041,036.85 × 612,908,694,024.55
  4. Step 4: Simplify right side
    612,908,694,024.55x = 563,485,600,816,334,509,178,880
  5. Step 5: Solve for x
    x = 563,485,600,816,334,509,178,880/612,908,694,024.55
  6. Step 6: Final answer
    x = 919,363,041,036.85

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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.