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Finding the Fourth Proportional to 333,898,040,897.40, 500,847,061,346.10 and 333,898,040,897.40

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Solution

The fourth proportional to 333,898,040,897.40, 500,847,061,346.10 and 333,898,040,897.40 is: 500,847,061,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,898,040,897.40 : 500,847,061,346.10 = 333,898,040,897.40 : x
  2. Step 2: Convert to fraction form
    333,898,040,897.40/500,847,061,346.10 = 333,898,040,897.40/x
  3. Step 3: Cross multiply
    333,898,040,897.40x = 500,847,061,346.10 × 333,898,040,897.40
  4. Step 4: Simplify right side
    333,898,040,897.40x = 167,231,852,572,682,714,349,568
  5. Step 5: Solve for x
    x = 167,231,852,572,682,714,349,568/333,898,040,897.40
  6. Step 6: Final answer
    x = 500,847,061,346.10

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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.