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Finding the Fourth Proportional to 33,501,643.20, 46,966,073.40 and 33,501,643.20

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Solution

The fourth proportional to 33,501,643.20, 46,966,073.40 and 33,501,643.20 is: 46,966,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,501,643.20 : 46,966,073.40 = 33,501,643.20 : x
  2. Step 2: Convert to fraction form
    33,501,643.20/46,966,073.40 = 33,501,643.20/x
  3. Step 3: Cross multiply
    33,501,643.20x = 46,966,073.40 × 33,501,643.20
  4. Step 4: Simplify right side
    33,501,643.20x = 1,573,440,633,551,810.75
  5. Step 5: Solve for x
    x = 1,573,440,633,551,810.75/33,501,643.20
  6. Step 6: Final answer
    x = 46,966,073.40

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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.