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Finding the Fourth Proportional to 292,284,291,626.70, 408,316,411,431.30 and 292,284,291,626.70

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Solution

The fourth proportional to 292,284,291,626.70, 408,316,411,431.30 and 292,284,291,626.70 is: 408,316,411,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,284,291,626.70 : 408,316,411,431.30 = 292,284,291,626.70 : x
  2. Step 2: Convert to fraction form
    292,284,291,626.70/408,316,411,431.30 = 292,284,291,626.70/x
  3. Step 3: Cross multiply
    292,284,291,626.70x = 408,316,411,431.30 × 292,284,291,626.70
  4. Step 4: Simplify right side
    292,284,291,626.70x = 119,344,473,074,753,712,685,056
  5. Step 5: Solve for x
    x = 119,344,473,074,753,712,685,056/292,284,291,626.70
  6. Step 6: Final answer
    x = 408,316,411,431.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.