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Finding the Fourth Proportional to 497,522,430.40, 746,283,645.60 and 440,126,802.40

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Solution

The fourth proportional to 497,522,430.40, 746,283,645.60 and 440,126,802.40 is: 660,190,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,522,430.40 : 746,283,645.60 = 440,126,802.40 : x
  2. Step 2: Convert to fraction form
    497,522,430.40/746,283,645.60 = 440,126,802.40/x
  3. Step 3: Cross multiply
    497,522,430.40x = 746,283,645.60 × 440,126,802.40
  4. Step 4: Simplify right side
    497,522,430.40x = 328,459,434,621,342,848
  5. Step 5: Solve for x
    x = 328,459,434,621,342,848/497,522,430.40
  6. Step 6: Final answer
    x = 660,190,203.60

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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.