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Finding the Fourth Proportional to 6,284,156,964,774.40, 9,426,235,447,161.40 and 6,284,156,964,774.40

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Solution

The fourth proportional to 6,284,156,964,774.40, 9,426,235,447,161.40 and 6,284,156,964,774.40 is: 9,426,235,447,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284,156,964,774.40 : 9,426,235,447,161.40 = 6,284,156,964,774.40 : x
  2. Step 2: Convert to fraction form
    6,284,156,964,774.40/9,426,235,447,161.40 = 6,284,156,964,774.40/x
  3. Step 3: Cross multiply
    6,284,156,964,774.40x = 9,426,235,447,161.40 × 6,284,156,964,774.40
  4. Step 4: Simplify right side
    6,284,156,964,774.40x = 59,235,943,136,882,647,543,840,768
  5. Step 5: Solve for x
    x = 59,235,943,136,882,647,543,840,768/6,284,156,964,774.40
  6. Step 6: Final answer
    x = 9,426,235,447,161.40

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