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Finding the Fourth Proportional to 81,843,048,045.90, 122,764,572,068.85 and 81,843,048,045.90

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Solution

The fourth proportional to 81,843,048,045.90, 122,764,572,068.85 and 81,843,048,045.90 is: 122,764,572,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,843,048,045.90 : 122,764,572,068.85 = 81,843,048,045.90 : x
  2. Step 2: Convert to fraction form
    81,843,048,045.90/122,764,572,068.85 = 81,843,048,045.90/x
  3. Step 3: Cross multiply
    81,843,048,045.90x = 122,764,572,068.85 × 81,843,048,045.90
  4. Step 4: Simplify right side
    81,843,048,045.90x = 10,047,426,770,165,242,527,744
  5. Step 5: Solve for x
    x = 10,047,426,770,165,242,527,744/81,843,048,045.90
  6. Step 6: Final answer
    x = 122,764,572,068.85

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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.