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Finding the Fourth Proportional to 301,806,937.60, 452,710,406.40 and 214,130,982.40

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Solution

The fourth proportional to 301,806,937.60, 452,710,406.40 and 214,130,982.40 is: 321,196,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,806,937.60 : 452,710,406.40 = 214,130,982.40 : x
  2. Step 2: Convert to fraction form
    301,806,937.60/452,710,406.40 = 214,130,982.40/x
  3. Step 3: Cross multiply
    301,806,937.60x = 452,710,406.40 × 214,130,982.40
  4. Step 4: Simplify right side
    301,806,937.60x = 96,939,324,065,135,248
  5. Step 5: Solve for x
    x = 96,939,324,065,135,248/301,806,937.60
  6. Step 6: Final answer
    x = 321,196,473.60

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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.