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Finding the Fourth Proportional to 7,841,834,402.40, 11,006,118,064.80 and 7,841,834,402.40

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Solution

The fourth proportional to 7,841,834,402.40, 11,006,118,064.80 and 7,841,834,402.40 is: 11,006,118,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841,834,402.40 : 11,006,118,064.80 = 7,841,834,402.40 : x
  2. Step 2: Convert to fraction form
    7,841,834,402.40/11,006,118,064.80 = 7,841,834,402.40/x
  3. Step 3: Cross multiply
    7,841,834,402.40x = 11,006,118,064.80 × 7,841,834,402.40
  4. Step 4: Simplify right side
    7,841,834,402.40x = 86,308,155,277,424,738,304
  5. Step 5: Solve for x
    x = 86,308,155,277,424,738,304/7,841,834,402.40
  6. Step 6: Final answer
    x = 11,006,118,064.80

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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.