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Finding the Fourth Proportional to 497,922,204.70, 698,111,453.30 and 497,922,204.70

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Solution

The fourth proportional to 497,922,204.70, 698,111,453.30 and 497,922,204.70 is: 698,111,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,922,204.70 : 698,111,453.30 = 497,922,204.70 : x
  2. Step 2: Convert to fraction form
    497,922,204.70/698,111,453.30 = 497,922,204.70/x
  3. Step 3: Cross multiply
    497,922,204.70x = 698,111,453.30 × 497,922,204.70
  4. Step 4: Simplify right side
    497,922,204.70x = 347,605,193,953,457,088
  5. Step 5: Solve for x
    x = 347,605,193,953,457,088/497,922,204.70
  6. Step 6: Final answer
    x = 698,111,453.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.