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Finding the Fourth Proportional to 804,877,007.10, 1,207,315,510.65 and 804,877,007.10

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Solution

The fourth proportional to 804,877,007.10, 1,207,315,510.65 and 804,877,007.10 is: 1,207,315,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,877,007.10 : 1,207,315,510.65 = 804,877,007.10 : x
  2. Step 2: Convert to fraction form
    804,877,007.10/1,207,315,510.65 = 804,877,007.10/x
  3. Step 3: Cross multiply
    804,877,007.10x = 1,207,315,510.65 × 804,877,007.10
  4. Step 4: Simplify right side
    804,877,007.10x = 971,740,494,837,380,224
  5. Step 5: Solve for x
    x = 971,740,494,837,380,224/804,877,007.10
  6. Step 6: Final answer
    x = 1,207,315,510.65

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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.