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Finding the Fourth Proportional to 788,777,364.10, 1,183,166,046.15 and 788,777,364.10

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Solution

The fourth proportional to 788,777,364.10, 1,183,166,046.15 and 788,777,364.10 is: 1,183,166,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,777,364.10 : 1,183,166,046.15 = 788,777,364.10 : x
  2. Step 2: Convert to fraction form
    788,777,364.10/1,183,166,046.15 = 788,777,364.10/x
  3. Step 3: Cross multiply
    788,777,364.10x = 1,183,166,046.15 × 788,777,364.10
  4. Step 4: Simplify right side
    788,777,364.10x = 933,254,595,174,816,000
  5. Step 5: Solve for x
    x = 933,254,595,174,816,000/788,777,364.10
  6. Step 6: Final answer
    x = 1,183,166,046.15

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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.