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Finding the Fourth Proportional to 136,547,048,278.80, 204,820,572,418.20 and 136,547,048,278.80

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Solution

The fourth proportional to 136,547,048,278.80, 204,820,572,418.20 and 136,547,048,278.80 is: 204,820,572,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,547,048,278.80 : 204,820,572,418.20 = 136,547,048,278.80 : x
  2. Step 2: Convert to fraction form
    136,547,048,278.80/204,820,572,418.20 = 136,547,048,278.80/x
  3. Step 3: Cross multiply
    136,547,048,278.80x = 204,820,572,418.20 × 136,547,048,278.80
  4. Step 4: Simplify right side
    136,547,048,278.80x = 27,967,644,590,479,410,987,008
  5. Step 5: Solve for x
    x = 27,967,644,590,479,410,987,008/136,547,048,278.80
  6. Step 6: Final answer
    x = 204,820,572,418.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.