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Finding the Fourth Proportional to 35,273,089,148.40, 52,909,633,722.60 and 35,273,089,148.40

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Solution

The fourth proportional to 35,273,089,148.40, 52,909,633,722.60 and 35,273,089,148.40 is: 52,909,633,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,273,089,148.40 : 52,909,633,722.60 = 35,273,089,148.40 : x
  2. Step 2: Convert to fraction form
    35,273,089,148.40/52,909,633,722.60 = 35,273,089,148.40/x
  3. Step 3: Cross multiply
    35,273,089,148.40x = 52,909,633,722.60 × 35,273,089,148.40
  4. Step 4: Simplify right side
    35,273,089,148.40x = 1,866,286,227,106,460,860,416
  5. Step 5: Solve for x
    x = 1,866,286,227,106,460,860,416/35,273,089,148.40
  6. Step 6: Final answer
    x = 52,909,633,722.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.