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Finding the Fourth Proportional to 416,430,689.76, 574,674,405.12 and 230,803,689.60

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Solution

The fourth proportional to 416,430,689.76, 574,674,405.12 and 230,803,689.60 is: 318,509,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,430,689.76 : 574,674,405.12 = 230,803,689.60 : x
  2. Step 2: Convert to fraction form
    416,430,689.76/574,674,405.12 = 230,803,689.60/x
  3. Step 3: Cross multiply
    416,430,689.76x = 574,674,405.12 × 230,803,689.60
  4. Step 4: Simplify right side
    416,430,689.76x = 132,636,973,020,381,136
  5. Step 5: Solve for x
    x = 132,636,973,020,381,136/416,430,689.76
  6. Step 6: Final answer
    x = 318,509,121.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.