Finding the Fourth Proportional to 9,730,143,106.46, 14,593,739,969.58 and 2,648,177,851.02
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Solution
The fourth proportional to 9,730,143,106.46, 14,593,739,969.58 and 2,648,177,851.02 is: 3,971,865,421.52
Step by Step Solution
- Step 1: Write the proportion equation
9,730,143,106.46 : 14,593,739,969.58 = 2,648,177,851.02 : x - Step 2: Convert to fraction form
9,730,143,106.46/14,593,739,969.58 = 2,648,177,851.02/x - Step 3: Cross multiply
9,730,143,106.46x = 14,593,739,969.58 × 2,648,177,851.02 - Step 4: Simplify right side
9,730,143,106.46x = 38,646,818,950,987,046,912 - Step 5: Solve for x
x = 38,646,818,950,987,046,912/9,730,143,106.46 - Step 6: Final answer
x = 3,971,865,421.52
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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.