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Finding the Fourth Proportional to 470,448,542.40, 705,672,813.60 and 452,592,124.80

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Solution

The fourth proportional to 470,448,542.40, 705,672,813.60 and 452,592,124.80 is: 678,888,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,448,542.40 : 705,672,813.60 = 452,592,124.80 : x
  2. Step 2: Convert to fraction form
    470,448,542.40/705,672,813.60 = 452,592,124.80/x
  3. Step 3: Cross multiply
    470,448,542.40x = 705,672,813.60 × 452,592,124.80
  4. Step 4: Simplify right side
    470,448,542.40x = 319,381,958,120,818,368
  5. Step 5: Solve for x
    x = 319,381,958,120,818,368/470,448,542.40
  6. Step 6: Final answer
    x = 678,888,187.20

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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.