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Finding the Fourth Proportional to 648,686,975,812.10, 973,030,463,718.15 and 648,686,975,812.10

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Solution

The fourth proportional to 648,686,975,812.10, 973,030,463,718.15 and 648,686,975,812.10 is: 973,030,463,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,686,975,812.10 : 973,030,463,718.15 = 648,686,975,812.10 : x
  2. Step 2: Convert to fraction form
    648,686,975,812.10/973,030,463,718.15 = 648,686,975,812.10/x
  3. Step 3: Cross multiply
    648,686,975,812.10x = 973,030,463,718.15 × 648,686,975,812.10
  4. Step 4: Simplify right side
    648,686,975,812.10x = 631,192,188,882,372,020,666,368
  5. Step 5: Solve for x
    x = 631,192,188,882,372,020,666,368/648,686,975,812.10
  6. Step 6: Final answer
    x = 973,030,463,718.15

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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.