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Finding the Fourth Proportional to 31,072,407,029.40, 46,608,610,544.10 and 31,072,407,029.40

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Solution

The fourth proportional to 31,072,407,029.40, 46,608,610,544.10 and 31,072,407,029.40 is: 46,608,610,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,072,407,029.40 : 46,608,610,544.10 = 31,072,407,029.40 : x
  2. Step 2: Convert to fraction form
    31,072,407,029.40/46,608,610,544.10 = 31,072,407,029.40/x
  3. Step 3: Cross multiply
    31,072,407,029.40x = 46,608,610,544.10 × 31,072,407,029.40
  4. Step 4: Simplify right side
    31,072,407,029.40x = 1,448,241,717,901,059,948,544
  5. Step 5: Solve for x
    x = 1,448,241,717,901,059,948,544/31,072,407,029.40
  6. Step 6: Final answer
    x = 46,608,610,544.10

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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.