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Finding the Fourth Proportional to 300,472,045.34, 450,716,925.35 and 256,475,406.35

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Solution

The fourth proportional to 300,472,045.34, 450,716,925.35 and 256,475,406.35 is: 384,720,669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,472,045.34 : 450,716,925.35 = 256,475,406.35 : x
  2. Step 2: Convert to fraction form
    300,472,045.34/450,716,925.35 = 256,475,406.35/x
  3. Step 3: Cross multiply
    300,472,045.34x = 450,716,925.35 × 256,475,406.35
  4. Step 4: Simplify right side
    300,472,045.34x = 115,597,806,579,731,856
  5. Step 5: Solve for x
    x = 115,597,806,579,731,856/300,472,045.34
  6. Step 6: Final answer
    x = 384,720,669.94

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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.