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Finding the Fourth Proportional to 289,322,213, 399,264,809.46 and 158,950,419.08

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Solution

The fourth proportional to 289,322,213, 399,264,809.46 and 158,950,419.08 is: 219,351,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,322,213 : 399,264,809.46 = 158,950,419.08 : x
  2. Step 2: Convert to fraction form
    289,322,213/399,264,809.46 = 158,950,419.08/x
  3. Step 3: Cross multiply
    289,322,213x = 399,264,809.46 × 158,950,419.08
  4. Step 4: Simplify right side
    289,322,213x = 63,463,308,787,563,352
  5. Step 5: Solve for x
    x = 63,463,308,787,563,352/289,322,213
  6. Step 6: Final answer
    x = 219,351,663.77

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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.