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Finding the Fourth Proportional to 1,098,843,015,655, 1,648,264,523,482.50 and 1,098,843,015,655

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Solution

The fourth proportional to 1,098,843,015,655, 1,648,264,523,482.50 and 1,098,843,015,655 is: 1,648,264,523,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,843,015,655 : 1,648,264,523,482.50 = 1,098,843,015,655 : x
  2. Step 2: Convert to fraction form
    1,098,843,015,655/1,648,264,523,482.50 = 1,098,843,015,655/x
  3. Step 3: Cross multiply
    1,098,843,015,655x = 1,648,264,523,482.50 × 1,098,843,015,655
  4. Step 4: Simplify right side
    1,098,843,015,655x = 1,811,183,959,580,661,828,812,800
  5. Step 5: Solve for x
    x = 1,811,183,959,580,661,828,812,800/1,098,843,015,655
  6. Step 6: Final answer
    x = 1,648,264,523,482.50

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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.