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Finding the Fourth Proportional to 556,286,005.20, 834,429,007.80 and 411,167,182.80

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Solution

The fourth proportional to 556,286,005.20, 834,429,007.80 and 411,167,182.80 is: 616,750,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,286,005.20 : 834,429,007.80 = 411,167,182.80 : x
  2. Step 2: Convert to fraction form
    556,286,005.20/834,429,007.80 = 411,167,182.80/x
  3. Step 3: Cross multiply
    556,286,005.20x = 834,429,007.80 × 411,167,182.80
  4. Step 4: Simplify right side
    556,286,005.20x = 343,089,824,383,725,248
  5. Step 5: Solve for x
    x = 343,089,824,383,725,248/556,286,005.20
  6. Step 6: Final answer
    x = 616,750,774.20

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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.