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Finding the Fourth Proportional to 4,165,966,014,248.40, 6,248,949,021,372.40 and 4,165,966,014,248.40

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Solution

The fourth proportional to 4,165,966,014,248.40, 6,248,949,021,372.40 and 4,165,966,014,248.40 is: 6,248,949,021,372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165,966,014,248.40 : 6,248,949,021,372.40 = 4,165,966,014,248.40 : x
  2. Step 2: Convert to fraction form
    4,165,966,014,248.40/6,248,949,021,372.40 = 4,165,966,014,248.40/x
  3. Step 3: Cross multiply
    4,165,966,014,248.40x = 6,248,949,021,372.40 × 4,165,966,014,248.40
  4. Step 4: Simplify right side
    4,165,966,014,248.40x = 26,032,909,247,808,216,080,842,752
  5. Step 5: Solve for x
    x = 26,032,909,247,808,216,080,842,752/4,165,966,014,248.40
  6. Step 6: Final answer
    x = 6,248,949,021,372.40

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