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Finding the Fourth Proportional to 6,413,742,416.40, 8,991,483,783.60 and 6,413,742,416.40

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Solution

The fourth proportional to 6,413,742,416.40, 8,991,483,783.60 and 6,413,742,416.40 is: 8,991,483,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413,742,416.40 : 8,991,483,783.60 = 6,413,742,416.40 : x
  2. Step 2: Convert to fraction form
    6,413,742,416.40/8,991,483,783.60 = 6,413,742,416.40/x
  3. Step 3: Cross multiply
    6,413,742,416.40x = 8,991,483,783.60 × 6,413,742,416.40
  4. Step 4: Simplify right side
    6,413,742,416.40x = 57,669,060,929,248,075,776
  5. Step 5: Solve for x
    x = 57,669,060,929,248,075,776/6,413,742,416.40
  6. Step 6: Final answer
    x = 8,991,483,783.60

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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.