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Finding the Fourth Proportional to 547,382,374.88, 755,198,373.63 and 415,085,554.40

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Solution

The fourth proportional to 547,382,374.88, 755,198,373.63 and 415,085,554.40 is: 572,674,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,382,374.88 : 755,198,373.63 = 415,085,554.40 : x
  2. Step 2: Convert to fraction form
    547,382,374.88/755,198,373.63 = 415,085,554.40/x
  3. Step 3: Cross multiply
    547,382,374.88x = 755,198,373.63 × 415,085,554.40
  4. Step 4: Simplify right side
    547,382,374.88x = 313,471,935,600,186,880
  5. Step 5: Solve for x
    x = 313,471,935,600,186,880/547,382,374.88
  6. Step 6: Final answer
    x = 572,674,514.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.