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Finding the Fourth Proportional to 136,547,532,003.90, 204,545,798,991.45 and 136,547,532,003.90

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Solution

The fourth proportional to 136,547,532,003.90, 204,545,798,991.45 and 136,547,532,003.90 is: 204,545,798,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,547,532,003.90 : 204,545,798,991.45 = 136,547,532,003.90 : x
  2. Step 2: Convert to fraction form
    136,547,532,003.90/204,545,798,991.45 = 136,547,532,003.90/x
  3. Step 3: Cross multiply
    136,547,532,003.90x = 204,545,798,991.45 × 136,547,532,003.90
  4. Step 4: Simplify right side
    136,547,532,003.90x = 27,930,224,034,048,313,917,440
  5. Step 5: Solve for x
    x = 27,930,224,034,048,313,917,440/136,547,532,003.90
  6. Step 6: Final answer
    x = 204,545,798,991.45

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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.