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Finding the Fourth Proportional to 208,038,477.60, 311,460,519.60 and 202,066,509.60

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Solution

The fourth proportional to 208,038,477.60, 311,460,519.60 and 202,066,509.60 is: 302,519,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,038,477.60 : 311,460,519.60 = 202,066,509.60 : x
  2. Step 2: Convert to fraction form
    208,038,477.60/311,460,519.60 = 202,066,509.60/x
  3. Step 3: Cross multiply
    208,038,477.60x = 311,460,519.60 × 202,066,509.60
  4. Step 4: Simplify right side
    208,038,477.60x = 62,935,740,073,774,392
  5. Step 5: Solve for x
    x = 62,935,740,073,774,392/208,038,477.60
  6. Step 6: Final answer
    x = 302,519,710.78

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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.