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Finding the Fourth Proportional to 890,376,607,268.90, 1,335,564,910,903.40 and 890,376,607,268.90

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Solution

The fourth proportional to 890,376,607,268.90, 1,335,564,910,903.40 and 890,376,607,268.90 is: 1,335,564,910,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,376,607,268.90 : 1,335,564,910,903.40 = 890,376,607,268.90 : x
  2. Step 2: Convert to fraction form
    890,376,607,268.90/1,335,564,910,903.40 = 890,376,607,268.90/x
  3. Step 3: Cross multiply
    890,376,607,268.90x = 1,335,564,910,903.40 × 890,376,607,268.90
  4. Step 4: Simplify right side
    890,376,607,268.90x = 1,189,155,754,157,559,947,198,464
  5. Step 5: Solve for x
    x = 1,189,155,754,157,559,947,198,464/890,376,607,268.90
  6. Step 6: Final answer
    x = 1,335,564,910,903.40

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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.