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Finding the Fourth Proportional to 998,590,502.90, 1,494,966,125.55 and 711,936,038.90

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Solution

The fourth proportional to 998,590,502.90, 1,494,966,125.55 and 711,936,038.90 is: 1,065,822,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,590,502.90 : 1,494,966,125.55 = 711,936,038.90 : x
  2. Step 2: Convert to fraction form
    998,590,502.90/1,494,966,125.55 = 711,936,038.90/x
  3. Step 3: Cross multiply
    998,590,502.90x = 1,494,966,125.55 × 711,936,038.90
  4. Step 4: Simplify right side
    998,590,502.90x = 1,064,320,261,713,747,072
  5. Step 5: Solve for x
    x = 1,064,320,261,713,747,072/998,590,502.90
  6. Step 6: Final answer
    x = 1,065,822,535.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.