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Finding the Fourth Proportional to 814,551,430,698.07, 1,221,827,146,047.10 and 814,551,430,698.07

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Solution

The fourth proportional to 814,551,430,698.07, 1,221,827,146,047.10 and 814,551,430,698.07 is: 1,221,827,146,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,551,430,698.07 : 1,221,827,146,047.10 = 814,551,430,698.07 : x
  2. Step 2: Convert to fraction form
    814,551,430,698.07/1,221,827,146,047.10 = 814,551,430,698.07/x
  3. Step 3: Cross multiply
    814,551,430,698.07x = 1,221,827,146,047.10 × 814,551,430,698.07
  4. Step 4: Simplify right side
    814,551,430,698.07x = 995,241,049,878,404,983,160,832
  5. Step 5: Solve for x
    x = 995,241,049,878,404,983,160,832/814,551,430,698.07
  6. Step 6: Final answer
    x = 1,221,827,146,047.10

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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.