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Finding the Fourth Proportional to 274,711,103,999.10, 412,066,655,998.65 and 274,711,103,999.10

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Solution

The fourth proportional to 274,711,103,999.10, 412,066,655,998.65 and 274,711,103,999.10 is: 412,066,655,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,711,103,999.10 : 412,066,655,998.65 = 274,711,103,999.10 : x
  2. Step 2: Convert to fraction form
    274,711,103,999.10/412,066,655,998.65 = 274,711,103,999.10/x
  3. Step 3: Cross multiply
    274,711,103,999.10x = 412,066,655,998.65 × 274,711,103,999.10
  4. Step 4: Simplify right side
    274,711,103,999.10x = 113,199,285,990,606,518,616,064
  5. Step 5: Solve for x
    x = 113,199,285,990,606,518,616,064/274,711,103,999.10
  6. Step 6: Final answer
    x = 412,066,655,998.65

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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.