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Finding the Fourth Proportional to 1,056,899,698,978.80, 1,585,349,548,468.20 and 1,056,899,698,978.80

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Solution

The fourth proportional to 1,056,899,698,978.80, 1,585,349,548,468.20 and 1,056,899,698,978.80 is: 1,585,349,548,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,899,698,978.80 : 1,585,349,548,468.20 = 1,056,899,698,978.80 : x
  2. Step 2: Convert to fraction form
    1,056,899,698,978.80/1,585,349,548,468.20 = 1,056,899,698,978.80/x
  3. Step 3: Cross multiply
    1,056,899,698,978.80x = 1,585,349,548,468.20 × 1,056,899,698,978.80
  4. Step 4: Simplify right side
    1,056,899,698,978.80x = 1,675,555,460,552,217,176,571,904
  5. Step 5: Solve for x
    x = 1,675,555,460,552,217,176,571,904/1,056,899,698,978.80
  6. Step 6: Final answer
    x = 1,585,349,548,468.20

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