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Finding the Fourth Proportional to 37,151,784,009.80, 52,159,430,421.40 and 37,151,784,009.80

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Solution

The fourth proportional to 37,151,784,009.80, 52,159,430,421.40 and 37,151,784,009.80 is: 52,159,430,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,151,784,009.80 : 52,159,430,421.40 = 37,151,784,009.80 : x
  2. Step 2: Convert to fraction form
    37,151,784,009.80/52,159,430,421.40 = 37,151,784,009.80/x
  3. Step 3: Cross multiply
    37,151,784,009.80x = 52,159,430,421.40 × 37,151,784,009.80
  4. Step 4: Simplify right side
    37,151,784,009.80x = 1,937,815,893,090,044,477,440
  5. Step 5: Solve for x
    x = 1,937,815,893,090,044,477,440/37,151,784,009.80
  6. Step 6: Final answer
    x = 52,159,430,421.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.