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Finding the Fourth Proportional to 5,097,478,553,999.40, 7,646,217,830,999.70 and 5,097,478,553,999.40

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Solution

The fourth proportional to 5,097,478,553,999.40, 7,646,217,830,999.70 and 5,097,478,553,999.40 is: 7,646,217,830,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097,478,553,999.40 : 7,646,217,830,999.70 = 5,097,478,553,999.40 : x
  2. Step 2: Convert to fraction form
    5,097,478,553,999.40/7,646,217,830,999.70 = 5,097,478,553,999.40/x
  3. Step 3: Cross multiply
    5,097,478,553,999.40x = 7,646,217,830,999.70 × 5,097,478,553,999.40
  4. Step 4: Simplify right side
    5,097,478,553,999.40x = 38,976,431,412,728,784,398,319,616
  5. Step 5: Solve for x
    x = 38,976,431,412,728,784,398,319,616/5,097,478,553,999.40
  6. Step 6: Final answer
    x = 7,646,217,830,999.70

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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.