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Finding the Fourth Proportional to 156,991,788,000.10, 235,487,682,000.14 and 156,991,788,000.10

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Solution

The fourth proportional to 156,991,788,000.10, 235,487,682,000.14 and 156,991,788,000.10 is: 235,487,682,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,991,788,000.10 : 235,487,682,000.14 = 156,991,788,000.10 : x
  2. Step 2: Convert to fraction form
    156,991,788,000.10/235,487,682,000.14 = 156,991,788,000.10/x
  3. Step 3: Cross multiply
    156,991,788,000.10x = 235,487,682,000.14 × 156,991,788,000.10
  4. Step 4: Simplify right side
    156,991,788,000.10x = 36,969,632,249,200,947,232,768
  5. Step 5: Solve for x
    x = 36,969,632,249,200,947,232,768/156,991,788,000.10
  6. Step 6: Final answer
    x = 235,487,682,000.14

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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.