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Finding the Fourth Proportional to 19,421,706,871.80, 29,132,560,307.70 and 19,421,706,871.80

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Solution

The fourth proportional to 19,421,706,871.80, 29,132,560,307.70 and 19,421,706,871.80 is: 29,132,560,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,421,706,871.80 : 29,132,560,307.70 = 19,421,706,871.80 : x
  2. Step 2: Convert to fraction form
    19,421,706,871.80/29,132,560,307.70 = 19,421,706,871.80/x
  3. Step 3: Cross multiply
    19,421,706,871.80x = 29,132,560,307.70 × 19,421,706,871.80
  4. Step 4: Simplify right side
    19,421,706,871.80x = 565,804,046,721,185,021,952
  5. Step 5: Solve for x
    x = 565,804,046,721,185,021,952/19,421,706,871.80
  6. Step 6: Final answer
    x = 29,132,560,307.70

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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.