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Finding the Fourth Proportional to 200,429,463.45, 280,983,886.35 and 200,429,463.45

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Solution

The fourth proportional to 200,429,463.45, 280,983,886.35 and 200,429,463.45 is: 280,983,886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429,463.45 : 280,983,886.35 = 200,429,463.45 : x
  2. Step 2: Convert to fraction form
    200,429,463.45/280,983,886.35 = 200,429,463.45/x
  3. Step 3: Cross multiply
    200,429,463.45x = 280,983,886.35 × 200,429,463.45
  4. Step 4: Simplify right side
    200,429,463.45x = 56,317,449,579,226,280
  5. Step 5: Solve for x
    x = 56,317,449,579,226,280/200,429,463.45
  6. Step 6: Final answer
    x = 280,983,886.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.