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Finding the Fourth Proportional to 13,676,698,505.16, 18,873,648,729 and 7,572,467,698.00

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Solution

The fourth proportional to 13,676,698,505.16, 18,873,648,729 and 7,572,467,698.00 is: 10,449,897,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676,698,505.16 : 18,873,648,729 = 7,572,467,698.00 : x
  2. Step 2: Convert to fraction form
    13,676,698,505.16/18,873,648,729 = 7,572,467,698.00/x
  3. Step 3: Cross multiply
    13,676,698,505.16x = 18,873,648,729 × 7,572,467,698.00
  4. Step 4: Simplify right side
    13,676,698,505.16x = 142,920,095,343,702,196,224
  5. Step 5: Solve for x
    x = 142,920,095,343,702,196,224/13,676,698,505.16
  6. Step 6: Final answer
    x = 10,449,897,341.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.