Finding the Fourth Proportional to 905,596,926.86, 1,249,716,246.62 and 509,121,683.70
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Solution
The fourth proportional to 905,596,926.86, 1,249,716,246.62 and 509,121,683.70 is: 702,583,700.05
Step by Step Solution
- Step 1: Write the proportion equation
905,596,926.86 : 1,249,716,246.62 = 509,121,683.70 : x - Step 2: Convert to fraction form
905,596,926.86/1,249,716,246.62 = 509,121,683.70/x - Step 3: Cross multiply
905,596,926.86x = 1,249,716,246.62 × 509,121,683.70 - Step 4: Simplify right side
905,596,926.86x = 636,257,639,623,873,152 - Step 5: Solve for x
x = 636,257,639,623,873,152/905,596,926.86 - Step 6: Final answer
x = 702,583,700.05
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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.