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Finding the Fourth Proportional to 148,607,136,019.70, 208,637,721,658.30 and 148,607,136,019.70

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Solution

The fourth proportional to 148,607,136,019.70, 208,637,721,658.30 and 148,607,136,019.70 is: 208,637,721,658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,607,136,019.70 : 208,637,721,658.30 = 148,607,136,019.70 : x
  2. Step 2: Convert to fraction form
    148,607,136,019.70/208,637,721,658.30 = 148,607,136,019.70/x
  3. Step 3: Cross multiply
    148,607,136,019.70x = 208,637,721,658.30 × 148,607,136,019.70
  4. Step 4: Simplify right side
    148,607,136,019.70x = 31,005,054,281,315,296,215,040
  5. Step 5: Solve for x
    x = 31,005,054,281,315,296,215,040/148,607,136,019.70
  6. Step 6: Final answer
    x = 208,637,721,658.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.