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Finding the Fourth Proportional to 298,971,537.10, 448,457,305.65 and 298,971,537.10

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Solution

The fourth proportional to 298,971,537.10, 448,457,305.65 and 298,971,537.10 is: 448,457,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,971,537.10 : 448,457,305.65 = 298,971,537.10 : x
  2. Step 2: Convert to fraction form
    298,971,537.10/448,457,305.65 = 298,971,537.10/x
  3. Step 3: Cross multiply
    298,971,537.10x = 448,457,305.65 × 298,971,537.10
  4. Step 4: Simplify right side
    298,971,537.10x = 134,075,969,993,905,024
  5. Step 5: Solve for x
    x = 134,075,969,993,905,024/298,971,537.10
  6. Step 6: Final answer
    x = 448,457,305.65

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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.