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Finding the Fourth Proportional to 16,547,448,737.60, 24,821,173,106.40 and 16,547,448,737.60

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Solution

The fourth proportional to 16,547,448,737.60, 24,821,173,106.40 and 16,547,448,737.60 is: 24,821,173,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547,448,737.60 : 24,821,173,106.40 = 16,547,448,737.60 : x
  2. Step 2: Convert to fraction form
    16,547,448,737.60/24,821,173,106.40 = 16,547,448,737.60/x
  3. Step 3: Cross multiply
    16,547,448,737.60x = 24,821,173,106.40 × 16,547,448,737.60
  4. Step 4: Simplify right side
    16,547,448,737.60x = 410,727,089,585,249,779,712
  5. Step 5: Solve for x
    x = 410,727,089,585,249,779,712/16,547,448,737.60
  6. Step 6: Final answer
    x = 24,821,173,106.40

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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.