Finding the Fourth Proportional to 8,249,350,349,217.80, 11,383,590,543,616 and 4,545,359,378,419.10
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Solution
The fourth proportional to 8,249,350,349,217.80, 11,383,590,543,616 and 4,545,359,378,419.10 is: 6,272,313,315,243.57
Step by Step Solution
- Step 1: Write the proportion equation
8,249,350,349,217.80 : 11,383,590,543,616 = 4,545,359,378,419.10 : x - Step 2: Convert to fraction form
8,249,350,349,217.80/11,383,590,543,616 = 4,545,359,378,419.10/x - Step 3: Cross multiply
8,249,350,349,217.80x = 11,383,590,543,616 × 4,545,359,378,419.10 - Step 4: Simplify right side
8,249,350,349,217.80x = 51,742,510,037,507,958,791,733,248 - Step 5: Solve for x
x = 51,742,510,037,507,958,791,733,248/8,249,350,349,217.80 - Step 6: Final answer
x = 6,272,313,315,243.57
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.