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Finding the Fourth Proportional to 746,627,770.10, 1,042,860,231.10 and 746,627,770.10

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Solution

The fourth proportional to 746,627,770.10, 1,042,860,231.10 and 746,627,770.10 is: 1,042,860,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,627,770.10 : 1,042,860,231.10 = 746,627,770.10 : x
  2. Step 2: Convert to fraction form
    746,627,770.10/1,042,860,231.10 = 746,627,770.10/x
  3. Step 3: Cross multiply
    746,627,770.10x = 1,042,860,231.10 × 746,627,770.10
  4. Step 4: Simplify right side
    746,627,770.10x = 778,628,408,872,163,712
  5. Step 5: Solve for x
    x = 778,628,408,872,163,712/746,627,770.10
  6. Step 6: Final answer
    x = 1,042,860,231.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.