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Finding the Fourth Proportional to 553,682,006.10, 830,523,009.15 and 553,682,006.10

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Solution

The fourth proportional to 553,682,006.10, 830,523,009.15 and 553,682,006.10 is: 830,523,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,682,006.10 : 830,523,009.15 = 553,682,006.10 : x
  2. Step 2: Convert to fraction form
    553,682,006.10/830,523,009.15 = 553,682,006.10/x
  3. Step 3: Cross multiply
    553,682,006.10x = 830,523,009.15 × 553,682,006.10
  4. Step 4: Simplify right side
    553,682,006.10x = 459,845,645,818,380,672
  5. Step 5: Solve for x
    x = 459,845,645,818,380,672/553,682,006.10
  6. Step 6: Final answer
    x = 830,523,009.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.