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Finding the Fourth Proportional to 146,688,804,833.60, 220,033,207,250.40 and 146,688,804,833.60

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Solution

The fourth proportional to 146,688,804,833.60, 220,033,207,250.40 and 146,688,804,833.60 is: 220,033,207,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,688,804,833.60 : 220,033,207,250.40 = 146,688,804,833.60 : x
  2. Step 2: Convert to fraction form
    146,688,804,833.60/220,033,207,250.40 = 146,688,804,833.60/x
  3. Step 3: Cross multiply
    146,688,804,833.60x = 220,033,207,250.40 × 146,688,804,833.60
  4. Step 4: Simplify right side
    146,688,804,833.60x = 32,276,408,195,264,985,169,920
  5. Step 5: Solve for x
    x = 32,276,408,195,264,985,169,920/146,688,804,833.60
  6. Step 6: Final answer
    x = 220,033,207,250.40

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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.