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Finding the Fourth Proportional to 801,427,415,094.90, 1,202,141,122,642.40 and 801,427,415,094.90

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Solution

The fourth proportional to 801,427,415,094.90, 1,202,141,122,642.40 and 801,427,415,094.90 is: 1,202,141,122,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,427,415,094.90 : 1,202,141,122,642.40 = 801,427,415,094.90 : x
  2. Step 2: Convert to fraction form
    801,427,415,094.90/1,202,141,122,642.40 = 801,427,415,094.90/x
  3. Step 3: Cross multiply
    801,427,415,094.90x = 1,202,141,122,642.40 × 801,427,415,094.90
  4. Step 4: Simplify right side
    801,427,415,094.90x = 963,428,852,498,579,740,164,096
  5. Step 5: Solve for x
    x = 963,428,852,498,579,740,164,096/801,427,415,094.90
  6. Step 6: Final answer
    x = 1,202,141,122,642.40

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Why These Related Problems?

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