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Finding the Fourth Proportional to 708,685,017.12, 977,993,951.94 and 411,396,134.40

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Solution

The fourth proportional to 708,685,017.12, 977,993,951.94 and 411,396,134.40 is: 567,731,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,685,017.12 : 977,993,951.94 = 411,396,134.40 : x
  2. Step 2: Convert to fraction form
    708,685,017.12/977,993,951.94 = 411,396,134.40/x
  3. Step 3: Cross multiply
    708,685,017.12x = 977,993,951.94 × 411,396,134.40
  4. Step 4: Simplify right side
    708,685,017.12x = 402,342,931,294,695,360
  5. Step 5: Solve for x
    x = 402,342,931,294,695,360/708,685,017.12
  6. Step 6: Final answer
    x = 567,731,674.26

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Why These Related Problems?

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