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Finding the Fourth Proportional to 25,649,142,703.20, 38,473,714,054.80 and 25,649,142,703.20

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Solution

The fourth proportional to 25,649,142,703.20, 38,473,714,054.80 and 25,649,142,703.20 is: 38,473,714,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649,142,703.20 : 38,473,714,054.80 = 25,649,142,703.20 : x
  2. Step 2: Convert to fraction form
    25,649,142,703.20/38,473,714,054.80 = 25,649,142,703.20/x
  3. Step 3: Cross multiply
    25,649,142,703.20x = 38,473,714,054.80 × 25,649,142,703.20
  4. Step 4: Simplify right side
    25,649,142,703.20x = 986,817,782,113,676,820,480
  5. Step 5: Solve for x
    x = 986,817,782,113,676,820,480/25,649,142,703.20
  6. Step 6: Final answer
    x = 38,473,714,054.80

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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.