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Finding the Fourth Proportional to 4,735,129,642.80, 6,640,065,411.60 and 4,735,129,642.80

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Solution

The fourth proportional to 4,735,129,642.80, 6,640,065,411.60 and 4,735,129,642.80 is: 6,640,065,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735,129,642.80 : 6,640,065,411.60 = 4,735,129,642.80 : x
  2. Step 2: Convert to fraction form
    4,735,129,642.80/6,640,065,411.60 = 4,735,129,642.80/x
  3. Step 3: Cross multiply
    4,735,129,642.80x = 6,640,065,411.60 × 4,735,129,642.80
  4. Step 4: Simplify right side
    4,735,129,642.80x = 31,441,570,560,598,147,072
  5. Step 5: Solve for x
    x = 31,441,570,560,598,147,072/4,735,129,642.80
  6. Step 6: Final answer
    x = 6,640,065,411.60

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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.