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Finding the Fourth Proportional to 136,547,053,620.30, 204,820,580,430.45 and 136,547,053,620.30

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Solution

The fourth proportional to 136,547,053,620.30, 204,820,580,430.45 and 136,547,053,620.30 is: 204,820,580,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,547,053,620.30 : 204,820,580,430.45 = 136,547,053,620.30 : x
  2. Step 2: Convert to fraction form
    136,547,053,620.30/204,820,580,430.45 = 136,547,053,620.30/x
  3. Step 3: Cross multiply
    136,547,053,620.30x = 204,820,580,430.45 × 136,547,053,620.30
  4. Step 4: Simplify right side
    136,547,053,620.30x = 27,967,646,778,577,628,692,480
  5. Step 5: Solve for x
    x = 27,967,646,778,577,628,692,480/136,547,053,620.30
  6. Step 6: Final answer
    x = 204,820,580,430.45

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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.