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Finding the Fourth Proportional to 136,547,048,233.80, 204,820,572,350.70 and 136,547,048,233.80

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Solution

The fourth proportional to 136,547,048,233.80, 204,820,572,350.70 and 136,547,048,233.80 is: 204,820,572,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,547,048,233.80 : 204,820,572,350.70 = 136,547,048,233.80 : x
  2. Step 2: Convert to fraction form
    136,547,048,233.80/204,820,572,350.70 = 136,547,048,233.80/x
  3. Step 3: Cross multiply
    136,547,048,233.80x = 204,820,572,350.70 × 136,547,048,233.80
  4. Step 4: Simplify right side
    136,547,048,233.80x = 27,967,644,572,045,558,153,216
  5. Step 5: Solve for x
    x = 27,967,644,572,045,558,153,216/136,547,048,233.80
  6. Step 6: Final answer
    x = 204,820,572,350.70

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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.