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Finding the Fourth Proportional to 1,168,749,410, 1,612,924,885.32 and 647,228,642

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Solution

The fourth proportional to 1,168,749,410, 1,612,924,885.32 and 647,228,642 is: 893,203,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168,749,410 : 1,612,924,885.32 = 647,228,642 : x
  2. Step 2: Convert to fraction form
    1,168,749,410/1,612,924,885.32 = 647,228,642/x
  3. Step 3: Cross multiply
    1,168,749,410x = 1,612,924,885.32 × 647,228,642
  4. Step 4: Simplify right side
    1,168,749,410x = 1,043,931,183,173,669,248
  5. Step 5: Solve for x
    x = 1,043,931,183,173,669,248/1,168,749,410
  6. Step 6: Final answer
    x = 893,203,602.28

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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.