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Finding the Fourth Proportional to 272,875,257,029.03, 409,312,885,543.54 and 272,875,257,029.03

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Solution

The fourth proportional to 272,875,257,029.03, 409,312,885,543.54 and 272,875,257,029.03 is: 409,312,885,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,875,257,029.03 : 409,312,885,543.54 = 272,875,257,029.03 : x
  2. Step 2: Convert to fraction form
    272,875,257,029.03/409,312,885,543.54 = 272,875,257,029.03/x
  3. Step 3: Cross multiply
    272,875,257,029.03x = 409,312,885,543.54 × 272,875,257,029.03
  4. Step 4: Simplify right side
    272,875,257,029.03x = 111,691,358,847,987,406,077,952
  5. Step 5: Solve for x
    x = 111,691,358,847,987,406,077,952/272,875,257,029.03
  6. Step 6: Final answer
    x = 409,312,885,543.54

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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.