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Finding the Fourth Proportional to 650,433,835.67, 897,599,840.54 and 353,076,283.77

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Solution

The fourth proportional to 650,433,835.67, 897,599,840.54 and 353,076,283.77 is: 487,245,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,433,835.67 : 897,599,840.54 = 353,076,283.77 : x
  2. Step 2: Convert to fraction form
    650,433,835.67/897,599,840.54 = 353,076,283.77/x
  3. Step 3: Cross multiply
    650,433,835.67x = 897,599,840.54 × 353,076,283.77
  4. Step 4: Simplify right side
    650,433,835.67x = 316,921,216,008,642,368
  5. Step 5: Solve for x
    x = 316,921,216,008,642,368/650,433,835.67
  6. Step 6: Final answer
    x = 487,245,894.40

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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.