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Finding the Fourth Proportional to 446,931,397,477.80, 670,397,096,216.70 and 446,931,397,477.80

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Solution

The fourth proportional to 446,931,397,477.80, 670,397,096,216.70 and 446,931,397,477.80 is: 670,397,096,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,931,397,477.80 : 670,397,096,216.70 = 446,931,397,477.80 : x
  2. Step 2: Convert to fraction form
    446,931,397,477.80/670,397,096,216.70 = 446,931,397,477.80/x
  3. Step 3: Cross multiply
    446,931,397,477.80x = 670,397,096,216.70 × 446,931,397,477.80
  4. Step 4: Simplify right side
    446,931,397,477.80x = 299,621,511,077,188,838,883,328
  5. Step 5: Solve for x
    x = 299,621,511,077,188,838,883,328/446,931,397,477.80
  6. Step 6: Final answer
    x = 670,397,096,216.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.