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Finding the Fourth Proportional to 147,029,234,774.40, 220,543,852,161.60 and 147,029,234,774.40

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Solution

The fourth proportional to 147,029,234,774.40, 220,543,852,161.60 and 147,029,234,774.40 is: 220,543,852,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,029,234,774.40 : 220,543,852,161.60 = 147,029,234,774.40 : x
  2. Step 2: Convert to fraction form
    147,029,234,774.40/220,543,852,161.60 = 147,029,234,774.40/x
  3. Step 3: Cross multiply
    147,029,234,774.40x = 220,543,852,161.60 × 147,029,234,774.40
  4. Step 4: Simplify right side
    147,029,234,774.40x = 32,426,393,817,518,450,933,760
  5. Step 5: Solve for x
    x = 32,426,393,817,518,450,933,760/147,029,234,774.40
  6. Step 6: Final answer
    x = 220,543,852,161.60

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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.