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Finding the Fourth Proportional to 14,205,388,848.40, 19,920,196,122.80 and 14,205,388,848.40

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Solution

The fourth proportional to 14,205,388,848.40, 19,920,196,122.80 and 14,205,388,848.40 is: 19,920,196,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205,388,848.40 : 19,920,196,122.80 = 14,205,388,848.40 : x
  2. Step 2: Convert to fraction form
    14,205,388,848.40/19,920,196,122.80 = 14,205,388,848.40/x
  3. Step 3: Cross multiply
    14,205,388,848.40x = 19,920,196,122.80 × 14,205,388,848.40
  4. Step 4: Simplify right side
    14,205,388,848.40x = 282,974,131,860,764,033,024
  5. Step 5: Solve for x
    x = 282,974,131,860,764,033,024/14,205,388,848.40
  6. Step 6: Final answer
    x = 19,920,196,122.80

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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.