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Finding the Fourth Proportional to 137,240,484,051.40, 205,860,726,077.10 and 137,240,484,051.40

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Solution

The fourth proportional to 137,240,484,051.40, 205,860,726,077.10 and 137,240,484,051.40 is: 205,860,726,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,240,484,051.40 : 205,860,726,077.10 = 137,240,484,051.40 : x
  2. Step 2: Convert to fraction form
    137,240,484,051.40/205,860,726,077.10 = 137,240,484,051.40/x
  3. Step 3: Cross multiply
    137,240,484,051.40x = 205,860,726,077.10 × 137,240,484,051.40
  4. Step 4: Simplify right side
    137,240,484,051.40x = 28,252,425,693,993,864,527,872
  5. Step 5: Solve for x
    x = 28,252,425,693,993,864,527,872/137,240,484,051.40
  6. Step 6: Final answer
    x = 205,860,726,077.10

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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.