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Finding the Fourth Proportional to 298,953,600.60, 448,430,400.90 and 286,039,584.30

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Solution

The fourth proportional to 298,953,600.60, 448,430,400.90 and 286,039,584.30 is: 429,059,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,953,600.60 : 448,430,400.90 = 286,039,584.30 : x
  2. Step 2: Convert to fraction form
    298,953,600.60/448,430,400.90 = 286,039,584.30/x
  3. Step 3: Cross multiply
    298,953,600.60x = 448,430,400.90 × 286,039,584.30
  4. Step 4: Simplify right side
    298,953,600.60x = 128,268,845,460,918,352
  5. Step 5: Solve for x
    x = 128,268,845,460,918,352/298,953,600.60
  6. Step 6: Final answer
    x = 429,059,376.45

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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.