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Finding the Fourth Proportional to 214,676,927.60, 322,015,391.40 and 53,118,863.60

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Solution

The fourth proportional to 214,676,927.60, 322,015,391.40 and 53,118,863.60 is: 79,678,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,676,927.60 : 322,015,391.40 = 53,118,863.60 : x
  2. Step 2: Convert to fraction form
    214,676,927.60/322,015,391.40 = 53,118,863.60/x
  3. Step 3: Cross multiply
    214,676,927.60x = 322,015,391.40 × 53,118,863.60
  4. Step 4: Simplify right side
    214,676,927.60x = 17,105,091,652,877,212
  5. Step 5: Solve for x
    x = 17,105,091,652,877,212/214,676,927.60
  6. Step 6: Final answer
    x = 79,678,295.40

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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.