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Finding the Fourth Proportional to 1,166,807,872.16, 1,610,016,000.72 and 671,674,908.32

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Solution

The fourth proportional to 1,166,807,872.16, 1,610,016,000.72 and 671,674,908.32 is: 926,808,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,807,872.16 : 1,610,016,000.72 = 671,674,908.32 : x
  2. Step 2: Convert to fraction form
    1,166,807,872.16/1,610,016,000.72 = 671,674,908.32/x
  3. Step 3: Cross multiply
    1,166,807,872.16x = 1,610,016,000.72 × 671,674,908.32
  4. Step 4: Simplify right side
    1,166,807,872.16x = 1,081,407,349,677,339,136
  5. Step 5: Solve for x
    x = 1,081,407,349,677,339,136/1,166,807,872.16
  6. Step 6: Final answer
    x = 926,808,410.78

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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.