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Finding the Fourth Proportional to 487,640,088,200.40, 731,460,132,300.60 and 487,640,088,200.40

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Solution

The fourth proportional to 487,640,088,200.40, 731,460,132,300.60 and 487,640,088,200.40 is: 731,460,132,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,640,088,200.40 : 731,460,132,300.60 = 487,640,088,200.40 : x
  2. Step 2: Convert to fraction form
    487,640,088,200.40/731,460,132,300.60 = 487,640,088,200.40/x
  3. Step 3: Cross multiply
    487,640,088,200.40x = 731,460,132,300.60 × 487,640,088,200.40
  4. Step 4: Simplify right side
    487,640,088,200.40x = 356,689,283,430,140,872,753,152
  5. Step 5: Solve for x
    x = 356,689,283,430,140,872,753,152/487,640,088,200.40
  6. Step 6: Final answer
    x = 731,460,132,300.60

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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.