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Finding the Fourth Proportional to 507,853,468,008, 700,837,900,246.66 and 279,482,709,993.98

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Solution

The fourth proportional to 507,853,468,008, 700,837,900,246.66 and 279,482,709,993.98 is: 385,686,202,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,853,468,008 : 700,837,900,246.66 = 279,482,709,993.98 : x
  2. Step 2: Convert to fraction form
    507,853,468,008/700,837,900,246.66 = 279,482,709,993.98/x
  3. Step 3: Cross multiply
    507,853,468,008x = 700,837,900,246.66 × 279,482,709,993.98
  4. Step 4: Simplify right side
    507,853,468,008x = 195,872,075,627,427,165,896,704
  5. Step 5: Solve for x
    x = 195,872,075,627,427,165,896,704/507,853,468,008
  6. Step 6: Final answer
    x = 385,686,202,746.07

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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.