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Finding the Fourth Proportional to 310,996,101.60, 466,494,152.40 and 306,461,138.40

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Solution

The fourth proportional to 310,996,101.60, 466,494,152.40 and 306,461,138.40 is: 459,691,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,996,101.60 : 466,494,152.40 = 306,461,138.40 : x
  2. Step 2: Convert to fraction form
    310,996,101.60/466,494,152.40 = 306,461,138.40/x
  3. Step 3: Cross multiply
    310,996,101.60x = 466,494,152.40 × 306,461,138.40
  4. Step 4: Simplify right side
    310,996,101.60x = 142,962,329,001,447,072
  5. Step 5: Solve for x
    x = 142,962,329,001,447,072/310,996,101.60
  6. Step 6: Final answer
    x = 459,691,707.60

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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.