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Finding the Fourth Proportional to 673,771,348.70, 1,010,657,023.05 and 411,877,223.90

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Solution

The fourth proportional to 673,771,348.70, 1,010,657,023.05 and 411,877,223.90 is: 617,815,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,771,348.70 : 1,010,657,023.05 = 411,877,223.90 : x
  2. Step 2: Convert to fraction form
    673,771,348.70/1,010,657,023.05 = 411,877,223.90/x
  3. Step 3: Cross multiply
    673,771,348.70x = 1,010,657,023.05 × 411,877,223.90
  4. Step 4: Simplify right side
    673,771,348.70x = 416,266,608,968,872,256
  5. Step 5: Solve for x
    x = 416,266,608,968,872,256/673,771,348.70
  6. Step 6: Final answer
    x = 617,815,835.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.