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Finding the Fourth Proportional to 380,215,688,547.60, 570,323,532,821.40 and 380,215,688,547.60

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Solution

The fourth proportional to 380,215,688,547.60, 570,323,532,821.40 and 380,215,688,547.60 is: 570,323,532,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,215,688,547.60 : 570,323,532,821.40 = 380,215,688,547.60 : x
  2. Step 2: Convert to fraction form
    380,215,688,547.60/570,323,532,821.40 = 380,215,688,547.60/x
  3. Step 3: Cross multiply
    380,215,688,547.60x = 570,323,532,821.40 × 380,215,688,547.60
  4. Step 4: Simplify right side
    380,215,688,547.60x = 216,845,954,726,588,344,958,976
  5. Step 5: Solve for x
    x = 216,845,954,726,588,344,958,976/380,215,688,547.60
  6. Step 6: Final answer
    x = 570,323,532,821.40

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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.