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Finding the Fourth Proportional to 577,371,609.20, 866,057,413.80 and 468,532,492.40

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Solution

The fourth proportional to 577,371,609.20, 866,057,413.80 and 468,532,492.40 is: 702,798,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,371,609.20 : 866,057,413.80 = 468,532,492.40 : x
  2. Step 2: Convert to fraction form
    577,371,609.20/866,057,413.80 = 468,532,492.40/x
  3. Step 3: Cross multiply
    577,371,609.20x = 866,057,413.80 × 468,532,492.40
  4. Step 4: Simplify right side
    577,371,609.20x = 405,776,038,649,212,096
  5. Step 5: Solve for x
    x = 405,776,038,649,212,096/577,371,609.20
  6. Step 6: Final answer
    x = 702,798,738.60

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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.