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Finding the Fourth Proportional to 68,157,308,345.80, 102,235,962,518.70 and 68,157,308,345.80

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Solution

The fourth proportional to 68,157,308,345.80, 102,235,962,518.70 and 68,157,308,345.80 is: 102,235,962,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,157,308,345.80 : 102,235,962,518.70 = 68,157,308,345.80 : x
  2. Step 2: Convert to fraction form
    68,157,308,345.80/102,235,962,518.70 = 68,157,308,345.80/x
  3. Step 3: Cross multiply
    68,157,308,345.80x = 102,235,962,518.70 × 68,157,308,345.80
  4. Step 4: Simplify right side
    68,157,308,345.80x = 6,968,128,021,416,687,697,920
  5. Step 5: Solve for x
    x = 6,968,128,021,416,687,697,920/68,157,308,345.80
  6. Step 6: Final answer
    x = 102,235,962,518.70

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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.