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Finding the Fourth Proportional to 724,768,658.16, 1,000,294,344.12 and 427,443,580.68

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Solution

The fourth proportional to 724,768,658.16, 1,000,294,344.12 and 427,443,580.68 is: 589,939,136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,768,658.16 : 1,000,294,344.12 = 427,443,580.68 : x
  2. Step 2: Convert to fraction form
    724,768,658.16/1,000,294,344.12 = 427,443,580.68/x
  3. Step 3: Cross multiply
    724,768,658.16x = 1,000,294,344.12 × 427,443,580.68
  4. Step 4: Simplify right side
    724,768,658.16x = 427,569,396,184,604,928
  5. Step 5: Solve for x
    x = 427,569,396,184,604,928/724,768,658.16
  6. Step 6: Final answer
    x = 589,939,136.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.