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Finding the Fourth Proportional to 730,735,000.10, 1,096,102,500.15 and 730,735,000.10

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Solution

The fourth proportional to 730,735,000.10, 1,096,102,500.15 and 730,735,000.10 is: 1,096,102,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,735,000.10 : 1,096,102,500.15 = 730,735,000.10 : x
  2. Step 2: Convert to fraction form
    730,735,000.10/1,096,102,500.15 = 730,735,000.10/x
  3. Step 3: Cross multiply
    730,735,000.10x = 1,096,102,500.15 × 730,735,000.10
  4. Step 4: Simplify right side
    730,735,000.10x = 800,960,460,556,720,640
  5. Step 5: Solve for x
    x = 800,960,460,556,720,640/730,735,000.10
  6. Step 6: Final answer
    x = 1,096,102,500.15

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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.