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Finding the Fourth Proportional to 919,935,006.40, 1,379,902,509.60 and 828,102,001.60

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Solution

The fourth proportional to 919,935,006.40, 1,379,902,509.60 and 828,102,001.60 is: 1,242,153,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,935,006.40 : 1,379,902,509.60 = 828,102,001.60 : x
  2. Step 2: Convert to fraction form
    919,935,006.40/1,379,902,509.60 = 828,102,001.60/x
  3. Step 3: Cross multiply
    919,935,006.40x = 1,379,902,509.60 × 828,102,001.60
  4. Step 4: Simplify right side
    919,935,006.40x = 1,142,700,030,212,623,232
  5. Step 5: Solve for x
    x = 1,142,700,030,212,623,232/919,935,006.40
  6. Step 6: Final answer
    x = 1,242,153,002.40

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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.