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Finding the Fourth Proportional to 147,029,234,779.15, 220,543,852,168.72 and 147,029,234,779.15

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Solution

The fourth proportional to 147,029,234,779.15, 220,543,852,168.72 and 147,029,234,779.15 is: 220,543,852,168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,029,234,779.15 : 220,543,852,168.72 = 147,029,234,779.15 : x
  2. Step 2: Convert to fraction form
    147,029,234,779.15/220,543,852,168.72 = 147,029,234,779.15/x
  3. Step 3: Cross multiply
    147,029,234,779.15x = 220,543,852,168.72 × 147,029,234,779.15
  4. Step 4: Simplify right side
    147,029,234,779.15x = 32,426,393,819,612,880,830,464
  5. Step 5: Solve for x
    x = 32,426,393,819,612,880,830,464/147,029,234,779.15
  6. Step 6: Final answer
    x = 220,543,852,168.72

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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.