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Finding the Fourth Proportional to 4,165,966,014,258.40, 6,248,949,021,387.40 and 4,165,966,014,258.40

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Solution

The fourth proportional to 4,165,966,014,258.40, 6,248,949,021,387.40 and 4,165,966,014,258.40 is: 6,248,949,021,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165,966,014,258.40 : 6,248,949,021,387.40 = 4,165,966,014,258.40 : x
  2. Step 2: Convert to fraction form
    4,165,966,014,258.40/6,248,949,021,387.40 = 4,165,966,014,258.40/x
  3. Step 3: Cross multiply
    4,165,966,014,258.40x = 6,248,949,021,387.40 × 4,165,966,014,258.40
  4. Step 4: Simplify right side
    4,165,966,014,258.40x = 26,032,909,247,933,195,334,189,056
  5. Step 5: Solve for x
    x = 26,032,909,247,933,195,334,189,056/4,165,966,014,258.40
  6. Step 6: Final answer
    x = 6,248,949,021,387.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.