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Finding the Fourth Proportional to 553,693,444.40, 830,859,031.20 and 208,894,523.60

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Solution

The fourth proportional to 553,693,444.40, 830,859,031.20 and 208,894,523.60 is: 313,462,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,693,444.40 : 830,859,031.20 = 208,894,523.60 : x
  2. Step 2: Convert to fraction form
    553,693,444.40/830,859,031.20 = 208,894,523.60/x
  3. Step 3: Cross multiply
    553,693,444.40x = 830,859,031.20 × 208,894,523.60
  4. Step 4: Simplify right side
    553,693,444.40x = 173,561,901,501,281,536
  5. Step 5: Solve for x
    x = 173,561,901,501,281,536/553,693,444.40
  6. Step 6: Final answer
    x = 313,462,084.94

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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.