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Finding the Fourth Proportional to 105,019,000.10, 157,528,500.15 and 105,019,000.10

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Solution

The fourth proportional to 105,019,000.10, 157,528,500.15 and 105,019,000.10 is: 157,528,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,019,000.10 : 157,528,500.15 = 105,019,000.10 : x
  2. Step 2: Convert to fraction form
    105,019,000.10/157,528,500.15 = 105,019,000.10/x
  3. Step 3: Cross multiply
    105,019,000.10x = 157,528,500.15 × 105,019,000.10
  4. Step 4: Simplify right side
    105,019,000.10x = 16,543,485,573,005,700
  5. Step 5: Solve for x
    x = 16,543,485,573,005,700/105,019,000.10
  6. Step 6: Final answer
    x = 157,528,500.15

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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.