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Finding the Fourth Proportional to 68,157,308,340.30, 102,235,962,510.45 and 68,157,308,340.30

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Solution

The fourth proportional to 68,157,308,340.30, 102,235,962,510.45 and 68,157,308,340.30 is: 102,235,962,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,157,308,340.30 : 102,235,962,510.45 = 68,157,308,340.30 : x
  2. Step 2: Convert to fraction form
    68,157,308,340.30/102,235,962,510.45 = 68,157,308,340.30/x
  3. Step 3: Cross multiply
    68,157,308,340.30x = 102,235,962,510.45 × 68,157,308,340.30
  4. Step 4: Simplify right side
    68,157,308,340.30x = 6,968,128,020,292,092,035,072
  5. Step 5: Solve for x
    x = 6,968,128,020,292,092,035,072/68,157,308,340.30
  6. Step 6: Final answer
    x = 102,235,962,510.45

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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.