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Finding the Fourth Proportional to 613,282,918,334.70, 919,924,377,502.05 and 613,282,918,334.70

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Solution

The fourth proportional to 613,282,918,334.70, 919,924,377,502.05 and 613,282,918,334.70 is: 919,924,377,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,282,918,334.70 : 919,924,377,502.05 = 613,282,918,334.70 : x
  2. Step 2: Convert to fraction form
    613,282,918,334.70/919,924,377,502.05 = 613,282,918,334.70/x
  3. Step 3: Cross multiply
    613,282,918,334.70x = 919,924,377,502.05 × 613,282,918,334.70
  4. Step 4: Simplify right side
    613,282,918,334.70x = 564,173,906,881,689,449,136,128
  5. Step 5: Solve for x
    x = 564,173,906,881,689,449,136,128/613,282,918,334.70
  6. Step 6: Final answer
    x = 919,924,377,502.05

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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.