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Finding the Fourth Proportional to 1,360,723,991.06, 1,877,893,485 and 824,898,240.02

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Solution

The fourth proportional to 1,360,723,991.06, 1,877,893,485 and 824,898,240.02 is: 1,138,416,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,723,991.06 : 1,877,893,485 = 824,898,240.02 : x
  2. Step 2: Convert to fraction form
    1,360,723,991.06/1,877,893,485 = 824,898,240.02/x
  3. Step 3: Cross multiply
    1,360,723,991.06x = 1,877,893,485 × 824,898,240.02
  4. Step 4: Simplify right side
    1,360,723,991.06x = 1,549,071,030,721,524,224
  5. Step 5: Solve for x
    x = 1,549,071,030,721,524,224/1,360,723,991.06
  6. Step 6: Final answer
    x = 1,138,416,784.67

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Why These Related Problems?

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