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Finding the Fourth Proportional to 543,377,663.40, 815,066,495.10 and 543,377,663.40

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Solution

The fourth proportional to 543,377,663.40, 815,066,495.10 and 543,377,663.40 is: 815,066,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,377,663.40 : 815,066,495.10 = 543,377,663.40 : x
  2. Step 2: Convert to fraction form
    543,377,663.40/815,066,495.10 = 543,377,663.40/x
  3. Step 3: Cross multiply
    543,377,663.40x = 815,066,495.10 × 543,377,663.40
  4. Step 4: Simplify right side
    543,377,663.40x = 442,888,927,623,065,536
  5. Step 5: Solve for x
    x = 442,888,927,623,065,536/543,377,663.40
  6. Step 6: Final answer
    x = 815,066,495.10

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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.