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Finding the Fourth Proportional to 862,157,196,000.10, 1,293,235,794,000.10 and 862,157,196,000.10

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Solution

The fourth proportional to 862,157,196,000.10, 1,293,235,794,000.10 and 862,157,196,000.10 is: 1,293,235,794,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,157,196,000.10 : 1,293,235,794,000.10 = 862,157,196,000.10 : x
  2. Step 2: Convert to fraction form
    862,157,196,000.10/1,293,235,794,000.10 = 862,157,196,000.10/x
  3. Step 3: Cross multiply
    862,157,196,000.10x = 1,293,235,794,000.10 × 862,157,196,000.10
  4. Step 4: Simplify right side
    862,157,196,000.10x = 1,114,972,545,922,089,237,872,640
  5. Step 5: Solve for x
    x = 1,114,972,545,922,089,237,872,640/862,157,196,000.10
  6. Step 6: Final answer
    x = 1,293,235,794,000.10

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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.