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Finding the Fourth Proportional to 272,875,257,000.15, 409,312,885,500.22 and 272,875,257,000.15

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Solution

The fourth proportional to 272,875,257,000.15, 409,312,885,500.22 and 272,875,257,000.15 is: 409,312,885,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,875,257,000.15 : 409,312,885,500.22 = 272,875,257,000.15 : x
  2. Step 2: Convert to fraction form
    272,875,257,000.15/409,312,885,500.22 = 272,875,257,000.15/x
  3. Step 3: Cross multiply
    272,875,257,000.15x = 409,312,885,500.22 × 272,875,257,000.15
  4. Step 4: Simplify right side
    272,875,257,000.15x = 111,691,358,824,345,490,161,664
  5. Step 5: Solve for x
    x = 111,691,358,824,345,490,161,664/272,875,257,000.15
  6. Step 6: Final answer
    x = 409,312,885,500.22

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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.