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Finding the Fourth Proportional to 6,284,156,964,749.70, 9,426,235,447,124.60 and 6,284,156,964,749.70

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Solution

The fourth proportional to 6,284,156,964,749.70, 9,426,235,447,124.60 and 6,284,156,964,749.70 is: 9,426,235,447,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284,156,964,749.70 : 9,426,235,447,124.60 = 6,284,156,964,749.70 : x
  2. Step 2: Convert to fraction form
    6,284,156,964,749.70/9,426,235,447,124.60 = 6,284,156,964,749.70/x
  3. Step 3: Cross multiply
    6,284,156,964,749.70x = 9,426,235,447,124.60 × 6,284,156,964,749.70
  4. Step 4: Simplify right side
    6,284,156,964,749.70x = 59,235,943,136,418,559,147,638,784
  5. Step 5: Solve for x
    x = 59,235,943,136,418,559,147,638,784/6,284,156,964,749.70
  6. Step 6: Final answer
    x = 9,426,235,447,124.60

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