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Finding the Fourth Proportional to 7,836,702,085.95, 11,002,376,559.45 and 7,836,702,085.95

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Solution

The fourth proportional to 7,836,702,085.95, 11,002,376,559.45 and 7,836,702,085.95 is: 11,002,376,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,702,085.95 : 11,002,376,559.45 = 7,836,702,085.95 : x
  2. Step 2: Convert to fraction form
    7,836,702,085.95/11,002,376,559.45 = 7,836,702,085.95/x
  3. Step 3: Cross multiply
    7,836,702,085.95x = 11,002,376,559.45 × 7,836,702,085.95
  4. Step 4: Simplify right side
    7,836,702,085.95x = 86,222,347,333,849,202,688
  5. Step 5: Solve for x
    x = 86,222,347,333,849,202,688/7,836,702,085.95
  6. Step 6: Final answer
    x = 11,002,376,559.45

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Why These Related Problems?

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