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Finding the Fourth Proportional to 880,069,833,072.90, 1,320,104,749,609.40 and 880,069,833,072.90

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Solution

The fourth proportional to 880,069,833,072.90, 1,320,104,749,609.40 and 880,069,833,072.90 is: 1,320,104,749,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,069,833,072.90 : 1,320,104,749,609.40 = 880,069,833,072.90 : x
  2. Step 2: Convert to fraction form
    880,069,833,072.90/1,320,104,749,609.40 = 880,069,833,072.90/x
  3. Step 3: Cross multiply
    880,069,833,072.90x = 1,320,104,749,609.40 × 880,069,833,072.90
  4. Step 4: Simplify right side
    880,069,833,072.90x = 1,161,784,366,627,487,043,551,232
  5. Step 5: Solve for x
    x = 1,161,784,366,627,487,043,551,232/880,069,833,072.90
  6. Step 6: Final answer
    x = 1,320,104,749,609.40

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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.