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Finding the Fourth Proportional to 543,034,287,128.93, 814,551,430,693.40 and 543,034,287,128.93

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Solution

The fourth proportional to 543,034,287,128.93, 814,551,430,693.40 and 543,034,287,128.93 is: 814,551,430,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,034,287,128.93 : 814,551,430,693.40 = 543,034,287,128.93 : x
  2. Step 2: Convert to fraction form
    543,034,287,128.93/814,551,430,693.40 = 543,034,287,128.93/x
  3. Step 3: Cross multiply
    543,034,287,128.93x = 814,551,430,693.40 × 543,034,287,128.93
  4. Step 4: Simplify right side
    543,034,287,128.93x = 442,329,355,496,440,522,080,256
  5. Step 5: Solve for x
    x = 442,329,355,496,440,522,080,256/543,034,287,128.93
  6. Step 6: Final answer
    x = 814,551,430,693.40

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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.