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Finding the Fourth Proportional to 463,854,835, 640,103,362.14 and 255,009,457

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Solution

The fourth proportional to 463,854,835, 640,103,362.14 and 255,009,457 is: 351,904,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,854,835 : 640,103,362.14 = 255,009,457 : x
  2. Step 2: Convert to fraction form
    463,854,835/640,103,362.14 = 255,009,457/x
  3. Step 3: Cross multiply
    463,854,835x = 640,103,362.14 × 255,009,457
  4. Step 4: Simplify right side
    463,854,835x = 163,232,410,803,195,744
  5. Step 5: Solve for x
    x = 163,232,410,803,195,744/463,854,835
  6. Step 6: Final answer
    x = 351,904,083.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.