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Finding the Fourth Proportional to 4,610,411.40, 6,464,023.80 and 4,610,411.40

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Solution

The fourth proportional to 4,610,411.40, 6,464,023.80 and 4,610,411.40 is: 6,464,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610,411.40 : 6,464,023.80 = 4,610,411.40 : x
  2. Step 2: Convert to fraction form
    4,610,411.40/6,464,023.80 = 4,610,411.40/x
  3. Step 3: Cross multiply
    4,610,411.40x = 6,464,023.80 × 4,610,411.40
  4. Step 4: Simplify right side
    4,610,411.40x = 29,801,809,017,391.32
  5. Step 5: Solve for x
    x = 29,801,809,017,391.32/4,610,411.40
  6. Step 6: Final answer
    x = 6,464,023.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.