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Finding the Fourth Proportional to 4,649,054,616,009.30, 6,973,581,924,014.10 and 4,649,054,616,009.30

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Solution

The fourth proportional to 4,649,054,616,009.30, 6,973,581,924,014.10 and 4,649,054,616,009.30 is: 6,973,581,924,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649,054,616,009.30 : 6,973,581,924,014.10 = 4,649,054,616,009.30 : x
  2. Step 2: Convert to fraction form
    4,649,054,616,009.30/6,973,581,924,014.10 = 4,649,054,616,009.30/x
  3. Step 3: Cross multiply
    4,649,054,616,009.30x = 6,973,581,924,014.10 × 4,649,054,616,009.30
  4. Step 4: Simplify right side
    4,649,054,616,009.30x = 32,420,563,233,956,762,079,985,664
  5. Step 5: Solve for x
    x = 32,420,563,233,956,762,079,985,664/4,649,054,616,009.30
  6. Step 6: Final answer
    x = 6,973,581,924,014.10

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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.