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Finding the Fourth Proportional to 514,916,355,376.60, 772,374,533,064.90 and 514,916,355,376.60

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Solution

The fourth proportional to 514,916,355,376.60, 772,374,533,064.90 and 514,916,355,376.60 is: 772,374,533,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,916,355,376.60 : 772,374,533,064.90 = 514,916,355,376.60 : x
  2. Step 2: Convert to fraction form
    514,916,355,376.60/772,374,533,064.90 = 514,916,355,376.60/x
  3. Step 3: Cross multiply
    514,916,355,376.60x = 772,374,533,064.90 × 514,916,355,376.60
  4. Step 4: Simplify right side
    514,916,355,376.60x = 397,708,279,551,481,534,742,528
  5. Step 5: Solve for x
    x = 397,708,279,551,481,534,742,528/514,916,355,376.60
  6. Step 6: Final answer
    x = 772,374,533,064.90

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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.