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Finding the Fourth Proportional to 183,520,464,784.08, 275,280,697,176.11 and 183,520,464,784.08

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Solution

The fourth proportional to 183,520,464,784.08, 275,280,697,176.11 and 183,520,464,784.08 is: 275,280,697,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,520,464,784.08 : 275,280,697,176.11 = 183,520,464,784.08 : x
  2. Step 2: Convert to fraction form
    183,520,464,784.08/275,280,697,176.11 = 183,520,464,784.08/x
  3. Step 3: Cross multiply
    183,520,464,784.08x = 275,280,697,176.11 × 183,520,464,784.08
  4. Step 4: Simplify right side
    183,520,464,784.08x = 50,519,641,491,845,276,499,968
  5. Step 5: Solve for x
    x = 50,519,641,491,845,276,499,968/183,520,464,784.08
  6. Step 6: Final answer
    x = 275,280,697,176.11

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1.5x scale

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.