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Finding the Fourth Proportional to 446,670,641.80, 670,005,962.70 and 343,358,511.40

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Solution

The fourth proportional to 446,670,641.80, 670,005,962.70 and 343,358,511.40 is: 515,037,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,670,641.80 : 670,005,962.70 = 343,358,511.40 : x
  2. Step 2: Convert to fraction form
    446,670,641.80/670,005,962.70 = 343,358,511.40/x
  3. Step 3: Cross multiply
    446,670,641.80x = 670,005,962.70 × 343,358,511.40
  4. Step 4: Simplify right side
    446,670,641.80x = 230,052,249,981,795,936
  5. Step 5: Solve for x
    x = 230,052,249,981,795,936/446,670,641.80
  6. Step 6: Final answer
    x = 515,037,767.10

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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.