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Finding the Fourth Proportional to 617,809,302.80, 926,699,784.60 and 311,019,030.80

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Solution

The fourth proportional to 617,809,302.80, 926,699,784.60 and 311,019,030.80 is: 466,521,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,809,302.80 : 926,699,784.60 = 311,019,030.80 : x
  2. Step 2: Convert to fraction form
    617,809,302.80/926,699,784.60 = 311,019,030.80/x
  3. Step 3: Cross multiply
    617,809,302.80x = 926,699,784.60 × 311,019,030.80
  4. Step 4: Simplify right side
    617,809,302.80x = 288,221,268,848,860,800
  5. Step 5: Solve for x
    x = 288,221,268,848,860,800/617,809,302.80
  6. Step 6: Final answer
    x = 466,521,412.91

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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.