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Finding the Fourth Proportional to 614,136,792.61, 922,022,420.16 and 323,208,219.16

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Solution

The fourth proportional to 614,136,792.61, 922,022,420.16 and 323,208,219.16 is: 485,242,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,136,792.61 : 922,022,420.16 = 323,208,219.16 : x
  2. Step 2: Convert to fraction form
    614,136,792.61/922,022,420.16 = 323,208,219.16/x
  3. Step 3: Cross multiply
    614,136,792.61x = 922,022,420.16 × 323,208,219.16
  4. Step 4: Simplify right side
    614,136,792.61x = 298,005,224,445,506,880
  5. Step 5: Solve for x
    x = 298,005,224,445,506,880/614,136,792.61
  6. Step 6: Final answer
    x = 485,242,421.61

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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.