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Finding the Fourth Proportional to 167,657,472,875.80, 251,486,209,313.70 and 167,657,472,875.80

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Solution

The fourth proportional to 167,657,472,875.80, 251,486,209,313.70 and 167,657,472,875.80 is: 251,486,209,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,657,472,875.80 : 251,486,209,313.70 = 167,657,472,875.80 : x
  2. Step 2: Convert to fraction form
    167,657,472,875.80/251,486,209,313.70 = 167,657,472,875.80/x
  3. Step 3: Cross multiply
    167,657,472,875.80x = 251,486,209,313.70 × 167,657,472,875.80
  4. Step 4: Simplify right side
    167,657,472,875.80x = 42,163,542,316,649,421,996,032
  5. Step 5: Solve for x
    x = 42,163,542,316,649,421,996,032/167,657,472,875.80
  6. Step 6: Final answer
    x = 251,486,209,313.70

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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.