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Finding the Fourth Proportional to 489,357,266.80, 734,035,900.20 and 470,545,567.60

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Solution

The fourth proportional to 489,357,266.80, 734,035,900.20 and 470,545,567.60 is: 705,818,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,357,266.80 : 734,035,900.20 = 470,545,567.60 : x
  2. Step 2: Convert to fraction form
    489,357,266.80/734,035,900.20 = 470,545,567.60/x
  3. Step 3: Cross multiply
    489,357,266.80x = 734,035,900.20 × 470,545,567.60
  4. Step 4: Simplify right side
    489,357,266.80x = 345,397,339,298,385,984
  5. Step 5: Solve for x
    x = 345,397,339,298,385,984/489,357,266.80
  6. Step 6: Final answer
    x = 705,818,351.40

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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.