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Finding the Fourth Proportional to 298,971,860.40, 448,457,790.60 and 117,219,038.40

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Solution

The fourth proportional to 298,971,860.40, 448,457,790.60 and 117,219,038.40 is: 175,828,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,971,860.40 : 448,457,790.60 = 117,219,038.40 : x
  2. Step 2: Convert to fraction form
    298,971,860.40/448,457,790.60 = 117,219,038.40/x
  3. Step 3: Cross multiply
    298,971,860.40x = 448,457,790.60 × 117,219,038.40
  4. Step 4: Simplify right side
    298,971,860.40x = 52,567,790,977,120,568
  5. Step 5: Solve for x
    x = 52,567,790,977,120,568/298,971,860.40
  6. Step 6: Final answer
    x = 175,828,557.60

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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.