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Finding the Fourth Proportional to 1,064,956,842.81, 1,597,606,916.91 and 328,026,404.62

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Solution

The fourth proportional to 1,064,956,842.81, 1,597,606,916.91 and 328,026,404.62 is: 492,092,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,956,842.81 : 1,597,606,916.91 = 328,026,404.62 : x
  2. Step 2: Convert to fraction form
    1,064,956,842.81/1,597,606,916.91 = 328,026,404.62/x
  3. Step 3: Cross multiply
    1,064,956,842.81x = 1,597,606,916.91 × 328,026,404.62
  4. Step 4: Simplify right side
    1,064,956,842.81x = 524,057,252,950,030,400
  5. Step 5: Solve for x
    x = 524,057,252,950,030,400/1,064,956,842.81
  6. Step 6: Final answer
    x = 492,092,479.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.