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Finding the Fourth Proportional to 704,133,117.32, 971,804,750.11 and 421,886,704.64

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Solution

The fourth proportional to 704,133,117.32, 971,804,750.11 and 421,886,704.64 is: 582,264,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,133,117.32 : 971,804,750.11 = 421,886,704.64 : x
  2. Step 2: Convert to fraction form
    704,133,117.32/971,804,750.11 = 421,886,704.64/x
  3. Step 3: Cross multiply
    704,133,117.32x = 971,804,750.11 × 421,886,704.64
  4. Step 4: Simplify right side
    704,133,117.32x = 409,991,503,571,492,800
  5. Step 5: Solve for x
    x = 409,991,503,571,492,800/704,133,117.32
  6. Step 6: Final answer
    x = 582,264,196.20

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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.