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Finding the Fourth Proportional to 788,777,363.10, 1,183,166,044.65 and 788,777,363.10

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Solution

The fourth proportional to 788,777,363.10, 1,183,166,044.65 and 788,777,363.10 is: 1,183,166,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,777,363.10 : 1,183,166,044.65 = 788,777,363.10 : x
  2. Step 2: Convert to fraction form
    788,777,363.10/1,183,166,044.65 = 788,777,363.10/x
  3. Step 3: Cross multiply
    788,777,363.10x = 1,183,166,044.65 × 788,777,363.10
  4. Step 4: Simplify right side
    788,777,363.10x = 933,254,592,808,483,968
  5. Step 5: Solve for x
    x = 933,254,592,808,483,968/788,777,363.10
  6. Step 6: Final answer
    x = 1,183,166,044.65

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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.