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Finding the Fourth Proportional to 514,872,293,445.40, 772,308,440,168.10 and 514,872,293,445.40

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Solution

The fourth proportional to 514,872,293,445.40, 772,308,440,168.10 and 514,872,293,445.40 is: 772,308,440,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,872,293,445.40 : 772,308,440,168.10 = 514,872,293,445.40 : x
  2. Step 2: Convert to fraction form
    514,872,293,445.40/772,308,440,168.10 = 514,872,293,445.40/x
  3. Step 3: Cross multiply
    514,872,293,445.40x = 772,308,440,168.10 × 514,872,293,445.40
  4. Step 4: Simplify right side
    514,872,293,445.40x = 397,640,217,836,589,158,498,304
  5. Step 5: Solve for x
    x = 397,640,217,836,589,158,498,304/514,872,293,445.40
  6. Step 6: Final answer
    x = 772,308,440,168.10

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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.