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Finding the Fourth Proportional to 496,971,620,191.60, 745,457,430,287.40 and 496,971,620,191.60

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Solution

The fourth proportional to 496,971,620,191.60, 745,457,430,287.40 and 496,971,620,191.60 is: 745,457,430,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,971,620,191.60 : 745,457,430,287.40 = 496,971,620,191.60 : x
  2. Step 2: Convert to fraction form
    496,971,620,191.60/745,457,430,287.40 = 496,971,620,191.60/x
  3. Step 3: Cross multiply
    496,971,620,191.60x = 745,457,430,287.40 × 496,971,620,191.60
  4. Step 4: Simplify right side
    496,971,620,191.60x = 370,471,186,913,795,892,051,968
  5. Step 5: Solve for x
    x = 370,471,186,913,795,892,051,968/496,971,620,191.60
  6. Step 6: Final answer
    x = 745,457,430,287.40

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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.