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Finding the Fourth Proportional to 509,306,547.40, 763,959,821.10 and 509,306,547.40

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Solution

The fourth proportional to 509,306,547.40, 763,959,821.10 and 509,306,547.40 is: 763,959,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,306,547.40 : 763,959,821.10 = 509,306,547.40 : x
  2. Step 2: Convert to fraction form
    509,306,547.40/763,959,821.10 = 509,306,547.40/x
  3. Step 3: Cross multiply
    509,306,547.40x = 763,959,821.10 × 509,306,547.40
  4. Step 4: Simplify right side
    509,306,547.40x = 389,089,738,836,762,688
  5. Step 5: Solve for x
    x = 389,089,738,836,762,688/509,306,547.40
  6. Step 6: Final answer
    x = 763,959,821.10

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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.