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Finding the Fourth Proportional to 162,905,367,096.90, 244,358,050,645.35 and 162,905,367,096.90

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Solution

The fourth proportional to 162,905,367,096.90, 244,358,050,645.35 and 162,905,367,096.90 is: 244,358,050,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,905,367,096.90 : 244,358,050,645.35 = 162,905,367,096.90 : x
  2. Step 2: Convert to fraction form
    162,905,367,096.90/244,358,050,645.35 = 162,905,367,096.90/x
  3. Step 3: Cross multiply
    162,905,367,096.90x = 244,358,050,645.35 × 162,905,367,096.90
  4. Step 4: Simplify right side
    162,905,367,096.90x = 39,807,237,943,463,623,262,208
  5. Step 5: Solve for x
    x = 39,807,237,943,463,623,262,208/162,905,367,096.90
  6. Step 6: Final answer
    x = 244,358,050,645.35

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