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Finding the Fourth Proportional to 30,144,029.40, 42,258,328.20 and 30,144,029.40

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Solution

The fourth proportional to 30,144,029.40, 42,258,328.20 and 30,144,029.40 is: 42,258,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144,029.40 : 42,258,328.20 = 30,144,029.40 : x
  2. Step 2: Convert to fraction form
    30,144,029.40/42,258,328.20 = 30,144,029.40/x
  3. Step 3: Cross multiply
    30,144,029.40x = 42,258,328.20 × 30,144,029.40
  4. Step 4: Simplify right side
    30,144,029.40x = 1,273,836,287,655,649
  5. Step 5: Solve for x
    x = 1,273,836,287,655,649/30,144,029.40
  6. Step 6: Final answer
    x = 42,258,328.20

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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.